Expander graph (English Wikipedia)

Analysis of information sources in references of the Wikipedia article "Expander graph" in English language version.

refsWebsite

Global rank English rank

30doi.org

2^nd place

12semanticscholar.org

11^th place

8^th place

10huji.ac.il

3,903^rd place

3,632^nd place

9arxiv.org

69^th place

59^th place

6worldcat.org

5^th place

4psu.edu

207^th place

136^th place

3harvard.edu

18^th place

17^th place

2wiley.com

222^nd place

297^th place

1jstor.org

26^th place

20^th place

1weizmann.ac.il

4,983^rd place

8,002^nd place

1princeton.edu

741^st place

577^th place

1yale.edu

565^th place

460^th place

1quantamagazine.org

6,413^th place

4,268^th place

1ams.org

451^st place

277^th place

ams.org (Global: 451^st place; English: 277^th place)

Chung, F. R. K. (1989). "Diameters and eigenvalues". Journal of the American Mathematical Society. 2 (2): 187–196. doi:10.1090/S0894-0347-1989-0965008-X. ISSN 0894-0347.

arxiv.org (Global: 69^th place; English: 59^th place)

Friedman, Joel (2004-05-05). "A proof of Alon's second eigenvalue conjecture and related problems". arXiv:cs/0405020.
Puder, Doron (2015-08-21). "Expansion of random graphs: New proofs, new results". Inventiones Mathematicae. 201 (3): 845–908. arXiv:1212.5216. Bibcode:2015InMat.201..845P. doi:10.1007/s00222-014-0560-x. S2CID 253743928.
Puder, Doron (2015). "Expansion of random graphs: new proofs, new results". Inventiones Mathematicae. 201 (3): 845–908. arXiv:1212.5216. Bibcode:2015InMat.201..845P. doi:10.1007/s00222-014-0560-x. ISSN 0020-9910. S2CID 16411939.
Friedman, Joel; Puder, Doron (2023). "A note on the trace method for random regular graphs". Israel Journal of Mathematics. 256: 269–282. arXiv:2006.13605. doi:10.1007/s11856-023-2497-5. S2CID 220042379.
Huang, Jiaoyang; McKenzie, Theo; Yau, Horng-Tzer (2024). "Ramanujan Property and Edge Universality of Random Regular Graphs". arXiv:2412.20263 [math.PR].
Bilu, Yonatan; Linial, Nathan (2004-04-08). "Constructing expander graphs by 2-lifts and discrepancy vs. spectral gap". arXiv:math/0312022.
Michael B. Cohen (2016). Ramanujan Graphs in Polynomial Time. Foundations of Computer Science (FOCS), 2016 IEEE 57th Annual Symposium. arXiv:1604.03544. doi:10.1109/FOCS.2016.37.
Hall, Chris; Puder, Doron; Sawin, William F. (2018). "Ramanujan coverings of graphs". Advances in Mathematics. 323: 367–410. arXiv:1506.02335. doi:10.1016/j.aim.2017.10.042.
Alexander, Clark (2021). "On Near Optimal Spectral Expander Graphs of Fixed Size". arXiv:2110.01407 [cs.DM].

doi.org (Global: 2^nd place; English: 2^nd place)

doi.org

Hoory, Linial & Wigderson (2006) Hoory, Shlomo; Linial, Nathan; Wigderson, Avi (2006), "Expander graphs and their applications" (PDF), Bulletin of the American Mathematical Society, New Series, 43 (4): 439–561, doi:10.1090/S0273-0979-06-01126-8
Definition 2.1 in Hoory, Linial & Wigderson (2006) Hoory, Shlomo; Linial, Nathan; Wigderson, Avi (2006), "Expander graphs and their applications" (PDF), Bulletin of the American Mathematical Society, New Series, 43 (4): 439–561, doi:10.1090/S0273-0979-06-01126-8
Bobkov, Houdré & Tetali (2000) Bobkov, S.; Houdré, C.; Tetali, P. (2000), "λ_∞, vertex isoperimetry and concentration", Combinatorica, 20 (2): 153–172, doi:10.1007/s004930070018, S2CID 1173532.
Alon & Capalbo (2002) Alon, N.; Capalbo, M. (2002), "Explicit unique-neighbor expanders", The 43rd Annual IEEE Symposium on Foundations of Computer Science, 2002. Proceedings, p. 73, CiteSeerX 10.1.1.103.967, doi:10.1109/SFCS.2002.1181884, ISBN 978-0-7695-1822-0, S2CID 6364755
cf. Section 2.3 in Hoory, Linial & Wigderson (2006) Hoory, Shlomo; Linial, Nathan; Wigderson, Avi (2006), "Expander graphs and their applications" (PDF), Bulletin of the American Mathematical Society, New Series, 43 (4): 439–561, doi:10.1090/S0273-0979-06-01126-8
This definition of the spectral gap is from Section 2.3 in Hoory, Linial & Wigderson (2006) Hoory, Shlomo; Linial, Nathan; Wigderson, Avi (2006), "Expander graphs and their applications" (PDF), Bulletin of the American Mathematical Society, New Series, 43 (4): 439–561, doi:10.1090/S0273-0979-06-01126-8
Hoory, Linial & Wigderson 2006, Definition 2.2. Hoory, Shlomo; Linial, Nathan; Wigderson, Avi (2006), "Expander graphs and their applications" (PDF), Bulletin of the American Mathematical Society, New Series, 43 (4): 439–561, doi:10.1090/S0273-0979-06-01126-8
Dodziuk 1984. Dodziuk, Jozef (1984), "Difference equations, isoperimetric inequality and transience of certain random walks", Trans. Amer. Math. Soc., 284 (2): 787–794, doi:10.2307/1999107, JSTOR 1999107.
Theorem 2.4 in Hoory, Linial & Wigderson (2006) Hoory, Shlomo; Linial, Nathan; Wigderson, Avi (2006), "Expander graphs and their applications" (PDF), Bulletin of the American Mathematical Society, New Series, 43 (4): 439–561, doi:10.1090/S0273-0979-06-01126-8
See Theorem 1 and p.156, l.1 in Bobkov, Houdré & Tetali (2000). Note that $λ 2$ there corresponds to $2(d - λ 2)$ of the current article (see p.153, l.5) Bobkov, S.; Houdré, C.; Tetali, P. (2000), "λ_∞, vertex isoperimetry and concentration", Combinatorica, 20 (2): 153–172, doi:10.1007/s004930070018, S2CID 1173532.
see, e.g., Yehudayoff (2012) Yehudayoff, Amir (2012), "Proving expansion in three steps", ACM SIGACT News, 43 (3): 67–84, doi:10.1145/2421096.2421115, S2CID 18098370
Alon, Noga (1986). "Eigenvalues, geometric expanders, sorting in rounds, and ramsey theory". Combinatorica. 6 (3): 207–219. CiteSeerX 10.1.1.300.5945. doi:10.1007/BF02579382. S2CID 8666466.
see, e.g., p.9 of Goldreich (2011) Goldreich, Oded (2011), "Basic Facts about Expander Graphs", Studies in Complexity and Cryptography. Miscellanea on the Interplay between Randomness and Computation (PDF), Lecture Notes in Computer Science (Vol. 6650), vol. 6650, pp. 451–464, CiteSeerX 10.1.1.231.1388, doi:10.1007/978-3-642-22670-0_30, ISBN 978-3-642-22669-4
Theorem 2.7 of Hoory, Linial & Wigderson (2006) Hoory, Shlomo; Linial, Nathan; Wigderson, Avi (2006), "Expander graphs and their applications" (PDF), Bulletin of the American Mathematical Society, New Series, 43 (4): 439–561, doi:10.1090/S0273-0979-06-01126-8
Definition 5.11 of Hoory, Linial & Wigderson (2006) Hoory, Shlomo; Linial, Nathan; Wigderson, Avi (2006), "Expander graphs and their applications" (PDF), Bulletin of the American Mathematical Society, New Series, 43 (4): 439–561, doi:10.1090/S0273-0979-06-01126-8
Theorem 5.12 of Hoory, Linial & Wigderson (2006) Hoory, Shlomo; Linial, Nathan; Wigderson, Avi (2006), "Expander graphs and their applications" (PDF), Bulletin of the American Mathematical Society, New Series, 43 (4): 439–561, doi:10.1090/S0273-0979-06-01126-8
Alon, Noga (1986-06-01). "Eigenvalues and expanders". Combinatorica. 6 (2): 83–96. doi:10.1007/BF02579166. ISSN 1439-6912. S2CID 41083612.
Theorem 7.10 of Hoory, Linial & Wigderson (2006) Hoory, Shlomo; Linial, Nathan; Wigderson, Avi (2006), "Expander graphs and their applications" (PDF), Bulletin of the American Mathematical Society, New Series, 43 (4): 439–561, doi:10.1090/S0273-0979-06-01126-8
Puder, Doron (2015-08-21). "Expansion of random graphs: New proofs, new results". Inventiones Mathematicae. 201 (3): 845–908. arXiv:1212.5216. Bibcode:2015InMat.201..845P. doi:10.1007/s00222-014-0560-x. S2CID 253743928.
Puder, Doron (2015). "Expansion of random graphs: new proofs, new results". Inventiones Mathematicae. 201 (3): 845–908. arXiv:1212.5216. Bibcode:2015InMat.201..845P. doi:10.1007/s00222-014-0560-x. ISSN 0020-9910. S2CID 16411939.
Friedman, Joel; Puder, Doron (2023). "A note on the trace method for random regular graphs". Israel Journal of Mathematics. 256: 269–282. arXiv:2006.13605. doi:10.1007/s11856-023-2497-5. S2CID 220042379.
Reingold, O.; Vadhan, S.; Wigderson, A. (2000). "Entropy waves, the zig-zag graph product, and new constant-degree expanders and extractors". Proceedings 41st Annual Symposium on Foundations of Computer Science. IEEE Comput. Soc. pp. 3–13. doi:10.1109/sfcs.2000.892006. ISBN 0-7695-0850-2. S2CID 420651.
Bilu, Yonatan; Linial, Nathan (2006). "Lifts, discrepancy and nearly optimal spectral gap". Combinatorica. 26 (5): 495–519. doi:10.1007/s00493-006-0029-7. ISSN 0209-9683. S2CID 14422668.
Michael B. Cohen (2016). Ramanujan Graphs in Polynomial Time. Foundations of Computer Science (FOCS), 2016 IEEE 57th Annual Symposium. arXiv:1604.03544. doi:10.1109/FOCS.2016.37.
Hall, Chris; Puder, Doron; Sawin, William F. (2018). "Ramanujan coverings of graphs". Advances in Mathematics. 323: 367–410. arXiv:1506.02335. doi:10.1016/j.aim.2017.10.042.
Alon, N.; Roichman, Y. (1994). "Random Cayley graphs and Expanders". Random Structures and Algorithms. 5 (2). Wiley Online Library: 271–284. doi:10.1002/rsa.3240050203.
Hoffman, A. J.; Howes, Leonard (1970). "On Eigenvalues and Colorings of Graphs, Ii". Annals of the New York Academy of Sciences. 175 (1): 238–242. Bibcode:1970NYASA.175..238H. doi:10.1111/j.1749-6632.1970.tb56474.x. ISSN 1749-6632. S2CID 85243045.
Alon, Noga; Krivelevich, Michael; Sudakov, Benny (1999-09-01). "Coloring Graphs with Sparse Neighborhoods". Journal of Combinatorial Theory. Series B. 77 (1): 73–82. doi:10.1006/jctb.1999.1910. ISSN 0095-8956.
Chung, F. R. K. (1989). "Diameters and eigenvalues". Journal of the American Mathematical Society. 2 (2): 187–196. doi:10.1090/S0894-0347-1989-0965008-X. ISSN 0894-0347.

dx.doi.org

Reingold, O.; Vadhan, S.; Wigderson, A. (2000). "Entropy waves, the zig-zag graph product, and new constant-degree expanders and extractors". Proceedings 41st Annual Symposium on Foundations of Computer Science. IEEE Comput. Soc. pp. 3–13. doi:10.1109/sfcs.2000.892006. ISBN 0-7695-0850-2. S2CID 420651.

harvard.edu (Global: 18^th place; English: 17^th place)

ui.adsabs.harvard.edu

Puder, Doron (2015-08-21). "Expansion of random graphs: New proofs, new results". Inventiones Mathematicae. 201 (3): 845–908. arXiv:1212.5216. Bibcode:2015InMat.201..845P. doi:10.1007/s00222-014-0560-x. S2CID 253743928.
Puder, Doron (2015). "Expansion of random graphs: new proofs, new results". Inventiones Mathematicae. 201 (3): 845–908. arXiv:1212.5216. Bibcode:2015InMat.201..845P. doi:10.1007/s00222-014-0560-x. ISSN 0020-9910. S2CID 16411939.
Hoffman, A. J.; Howes, Leonard (1970). "On Eigenvalues and Colorings of Graphs, Ii". Annals of the New York Academy of Sciences. 175 (1): 238–242. Bibcode:1970NYASA.175..238H. doi:10.1111/j.1749-6632.1970.tb56474.x. ISSN 1749-6632. S2CID 85243045.

huji.ac.il (Global: 3,903^rd place; English: 3,632^nd place)

cs.huji.ac.il

Hoory, Linial & Wigderson (2006) Hoory, Shlomo; Linial, Nathan; Wigderson, Avi (2006), "Expander graphs and their applications" (PDF), Bulletin of the American Mathematical Society, New Series, 43 (4): 439–561, doi:10.1090/S0273-0979-06-01126-8
Definition 2.1 in Hoory, Linial & Wigderson (2006) Hoory, Shlomo; Linial, Nathan; Wigderson, Avi (2006), "Expander graphs and their applications" (PDF), Bulletin of the American Mathematical Society, New Series, 43 (4): 439–561, doi:10.1090/S0273-0979-06-01126-8
cf. Section 2.3 in Hoory, Linial & Wigderson (2006) Hoory, Shlomo; Linial, Nathan; Wigderson, Avi (2006), "Expander graphs and their applications" (PDF), Bulletin of the American Mathematical Society, New Series, 43 (4): 439–561, doi:10.1090/S0273-0979-06-01126-8
This definition of the spectral gap is from Section 2.3 in Hoory, Linial & Wigderson (2006) Hoory, Shlomo; Linial, Nathan; Wigderson, Avi (2006), "Expander graphs and their applications" (PDF), Bulletin of the American Mathematical Society, New Series, 43 (4): 439–561, doi:10.1090/S0273-0979-06-01126-8
Hoory, Linial & Wigderson 2006, Definition 2.2. Hoory, Shlomo; Linial, Nathan; Wigderson, Avi (2006), "Expander graphs and their applications" (PDF), Bulletin of the American Mathematical Society, New Series, 43 (4): 439–561, doi:10.1090/S0273-0979-06-01126-8
Theorem 2.4 in Hoory, Linial & Wigderson (2006) Hoory, Shlomo; Linial, Nathan; Wigderson, Avi (2006), "Expander graphs and their applications" (PDF), Bulletin of the American Mathematical Society, New Series, 43 (4): 439–561, doi:10.1090/S0273-0979-06-01126-8
Theorem 2.7 of Hoory, Linial & Wigderson (2006) Hoory, Shlomo; Linial, Nathan; Wigderson, Avi (2006), "Expander graphs and their applications" (PDF), Bulletin of the American Mathematical Society, New Series, 43 (4): 439–561, doi:10.1090/S0273-0979-06-01126-8
Definition 5.11 of Hoory, Linial & Wigderson (2006) Hoory, Shlomo; Linial, Nathan; Wigderson, Avi (2006), "Expander graphs and their applications" (PDF), Bulletin of the American Mathematical Society, New Series, 43 (4): 439–561, doi:10.1090/S0273-0979-06-01126-8
Theorem 5.12 of Hoory, Linial & Wigderson (2006) Hoory, Shlomo; Linial, Nathan; Wigderson, Avi (2006), "Expander graphs and their applications" (PDF), Bulletin of the American Mathematical Society, New Series, 43 (4): 439–561, doi:10.1090/S0273-0979-06-01126-8
Theorem 7.10 of Hoory, Linial & Wigderson (2006) Hoory, Shlomo; Linial, Nathan; Wigderson, Avi (2006), "Expander graphs and their applications" (PDF), Bulletin of the American Mathematical Society, New Series, 43 (4): 439–561, doi:10.1090/S0273-0979-06-01126-8

jstor.org (Global: 26^th place; English: 20^th place)

Dodziuk 1984. Dodziuk, Jozef (1984), "Difference equations, isoperimetric inequality and transience of certain random walks", Trans. Amer. Math. Soc., 284 (2): 787–794, doi:10.2307/1999107, JSTOR 1999107.

princeton.edu (Global: 741^st place; English: 577^th place)

annals.math.princeton.edu

Adam Marcus; Daniel Spielman; Nikhil Srivastava (2013). Interlacing families I: Bipartite Ramanujan graphs of all degrees (PDF). Foundations of Computer Science (FOCS), 2013 IEEE 54th Annual Symposium.

psu.edu (Global: 207^th place; English: 136^th place)

citeseerx.ist.psu.edu

Alon & Capalbo (2002) Alon, N.; Capalbo, M. (2002), "Explicit unique-neighbor expanders", The 43rd Annual IEEE Symposium on Foundations of Computer Science, 2002. Proceedings, p. 73, CiteSeerX 10.1.1.103.967, doi:10.1109/SFCS.2002.1181884, ISBN 978-0-7695-1822-0, S2CID 6364755
Alon, Noga (1986). "Eigenvalues, geometric expanders, sorting in rounds, and ramsey theory". Combinatorica. 6 (3): 207–219. CiteSeerX 10.1.1.300.5945. doi:10.1007/BF02579382. S2CID 8666466.
see, e.g., p.9 of Goldreich (2011) Goldreich, Oded (2011), "Basic Facts about Expander Graphs", Studies in Complexity and Cryptography. Miscellanea on the Interplay between Randomness and Computation (PDF), Lecture Notes in Computer Science (Vol. 6650), vol. 6650, pp. 451–464, CiteSeerX 10.1.1.231.1388, doi:10.1007/978-3-642-22670-0_30, ISBN 978-3-642-22669-4
Pinkser, M. (1973). "On the Complexity of a Concentrator". SIAM Journal on Computing. SIAM. CiteSeerX 10.1.1.393.1430.

quantamagazine.org (Global: 6,413^th place; English: 4,268^th place)

Sloman, Leila (2025-04-18). "New Proof Settles Decades-Old Bet About Connected Networks". Quanta Magazine. Retrieved 2025-05-06.

semanticscholar.org (Global: 11^th place; English: 8^th place)

api.semanticscholar.org

Bobkov, Houdré & Tetali (2000) Bobkov, S.; Houdré, C.; Tetali, P. (2000), "λ_∞, vertex isoperimetry and concentration", Combinatorica, 20 (2): 153–172, doi:10.1007/s004930070018, S2CID 1173532.
Alon & Capalbo (2002) Alon, N.; Capalbo, M. (2002), "Explicit unique-neighbor expanders", The 43rd Annual IEEE Symposium on Foundations of Computer Science, 2002. Proceedings, p. 73, CiteSeerX 10.1.1.103.967, doi:10.1109/SFCS.2002.1181884, ISBN 978-0-7695-1822-0, S2CID 6364755
See Theorem 1 and p.156, l.1 in Bobkov, Houdré & Tetali (2000). Note that $λ 2$ there corresponds to $2(d - λ 2)$ of the current article (see p.153, l.5) Bobkov, S.; Houdré, C.; Tetali, P. (2000), "λ_∞, vertex isoperimetry and concentration", Combinatorica, 20 (2): 153–172, doi:10.1007/s004930070018, S2CID 1173532.
see, e.g., Yehudayoff (2012) Yehudayoff, Amir (2012), "Proving expansion in three steps", ACM SIGACT News, 43 (3): 67–84, doi:10.1145/2421096.2421115, S2CID 18098370
Alon, Noga (1986). "Eigenvalues, geometric expanders, sorting in rounds, and ramsey theory". Combinatorica. 6 (3): 207–219. CiteSeerX 10.1.1.300.5945. doi:10.1007/BF02579382. S2CID 8666466.
Alon, Noga (1986-06-01). "Eigenvalues and expanders". Combinatorica. 6 (2): 83–96. doi:10.1007/BF02579166. ISSN 1439-6912. S2CID 41083612.
Puder, Doron (2015-08-21). "Expansion of random graphs: New proofs, new results". Inventiones Mathematicae. 201 (3): 845–908. arXiv:1212.5216. Bibcode:2015InMat.201..845P. doi:10.1007/s00222-014-0560-x. S2CID 253743928.
Puder, Doron (2015). "Expansion of random graphs: new proofs, new results". Inventiones Mathematicae. 201 (3): 845–908. arXiv:1212.5216. Bibcode:2015InMat.201..845P. doi:10.1007/s00222-014-0560-x. ISSN 0020-9910. S2CID 16411939.
Friedman, Joel; Puder, Doron (2023). "A note on the trace method for random regular graphs". Israel Journal of Mathematics. 256: 269–282. arXiv:2006.13605. doi:10.1007/s11856-023-2497-5. S2CID 220042379.
Reingold, O.; Vadhan, S.; Wigderson, A. (2000). "Entropy waves, the zig-zag graph product, and new constant-degree expanders and extractors". Proceedings 41st Annual Symposium on Foundations of Computer Science. IEEE Comput. Soc. pp. 3–13. doi:10.1109/sfcs.2000.892006. ISBN 0-7695-0850-2. S2CID 420651.
Bilu, Yonatan; Linial, Nathan (2006). "Lifts, discrepancy and nearly optimal spectral gap". Combinatorica. 26 (5): 495–519. doi:10.1007/s00493-006-0029-7. ISSN 0209-9683. S2CID 14422668.
Hoffman, A. J.; Howes, Leonard (1970). "On Eigenvalues and Colorings of Graphs, Ii". Annals of the New York Academy of Sciences. 175 (1): 238–242. Bibcode:1970NYASA.175..238H. doi:10.1111/j.1749-6632.1970.tb56474.x. ISSN 1749-6632. S2CID 85243045.

weizmann.ac.il (Global: 4,983^rd place; English: 8,002^nd place)

wisdom.weizmann.ac.il

see, e.g., p.9 of Goldreich (2011) Goldreich, Oded (2011), "Basic Facts about Expander Graphs", Studies in Complexity and Cryptography. Miscellanea on the Interplay between Randomness and Computation (PDF), Lecture Notes in Computer Science (Vol. 6650), vol. 6650, pp. 451–464, CiteSeerX 10.1.1.231.1388, doi:10.1007/978-3-642-22670-0_30, ISBN 978-3-642-22669-4

wiley.com (Global: 222^nd place; English: 297^th place)

onlinelibrary.wiley.com

Alon, N.; Roichman, Y. (1994). "Random Cayley graphs and Expanders". Random Structures and Algorithms. 5 (2). Wiley Online Library: 271–284. doi:10.1002/rsa.3240050203.
Hoffman, A. J.; Howes, Leonard (1970). "On Eigenvalues and Colorings of Graphs, Ii". Annals of the New York Academy of Sciences. 175 (1): 238–242. Bibcode:1970NYASA.175..238H. doi:10.1111/j.1749-6632.1970.tb56474.x. ISSN 1749-6632. S2CID 85243045.

worldcat.org (Global: 5^th place; English: 5^th place)

search.worldcat.org

Alon, Noga (1986-06-01). "Eigenvalues and expanders". Combinatorica. 6 (2): 83–96. doi:10.1007/BF02579166. ISSN 1439-6912. S2CID 41083612.
Puder, Doron (2015). "Expansion of random graphs: new proofs, new results". Inventiones Mathematicae. 201 (3): 845–908. arXiv:1212.5216. Bibcode:2015InMat.201..845P. doi:10.1007/s00222-014-0560-x. ISSN 0020-9910. S2CID 16411939.
Bilu, Yonatan; Linial, Nathan (2006). "Lifts, discrepancy and nearly optimal spectral gap". Combinatorica. 26 (5): 495–519. doi:10.1007/s00493-006-0029-7. ISSN 0209-9683. S2CID 14422668.
Hoffman, A. J.; Howes, Leonard (1970). "On Eigenvalues and Colorings of Graphs, Ii". Annals of the New York Academy of Sciences. 175 (1): 238–242. Bibcode:1970NYASA.175..238H. doi:10.1111/j.1749-6632.1970.tb56474.x. ISSN 1749-6632. S2CID 85243045.
Alon, Noga; Krivelevich, Michael; Sudakov, Benny (1999-09-01). "Coloring Graphs with Sparse Neighborhoods". Journal of Combinatorial Theory. Series B. 77 (1): 73–82. doi:10.1006/jctb.1999.1910. ISSN 0095-8956.
Chung, F. R. K. (1989). "Diameters and eigenvalues". Journal of the American Mathematical Society. 2 (2): 187–196. doi:10.1090/S0894-0347-1989-0965008-X. ISSN 0894-0347.

yale.edu (Global: 565^th place; English: 460^th place)

cs.yale.edu

Adam Marcus; Daniel Spielman; Nikhil Srivastava (2015). Interlacing families IV: Bipartite Ramanujan graphs of all sizes (PDF). Foundations of Computer Science (FOCS), 2015 IEEE 56th Annual Symposium.

Expander graph (English Wikipedia)

ams.org (Global: 451st place; English: 277th place)

arxiv.org (Global: 69th place; English: 59th place)

doi.org (Global: 2nd place; English: 2nd place)

doi.org

dx.doi.org

harvard.edu (Global: 18th place; English: 17th place)

ui.adsabs.harvard.edu

huji.ac.il (Global: 3,903rd place; English: 3,632nd place)