譜圖論 (Chinese Wikipedia)

Analysis of information sources in references of the Wikipedia article "譜圖論" in Chinese language version.

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14doi.org

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8web.archive.org

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6worldcat.org

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2archive.org

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2uwaterloo.ca

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2huji.ac.il

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2ams.org

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2harvard.edu

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1wolfram.com

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1jstor.org

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1tue.nl

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1ucsd.edu

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1sciencedirect.com

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1arxiv.org

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1epfl.ch

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ams.org

Alon, N.; Milman, V. D. λ₁, isoperimetric inequalities for graphs, and superconcentrators [λ₁、圖之等周不等式、超集中器]. Journal of Combinatorial Theory, Series B. 1985, 38 (1): 73–88. MR 0782626. doi:10.1016/0095-8956(85)90092-9 （英语）.
Chung, Fan. Spectral Graph Theory [譜圖論]. Providence, R. I.: American Mathematical Society. 1997 [2022-01-10]. ISBN 0821803158. MR 1421568. （原始内容存档于2020-02-14）（英语）前四章可於網頁查閱

archive.org

Schwenk, A. J. Almost All Trees are Cospectral [幾乎全體樹皆共譜]. Harary, Frank (编). New Directions in the Theory of Graphs [圖論之新方向]. New York: Academic Press. 1973: 275–307. ISBN 012324255X. OCLC 890297242 （英语）.
Cvetković, Dragoš; Rowlinson, Peter; Simić, Slobodan. Eigenspaces of Graphs [圖之本徵空間]. Cambridge University Press. 1997. ISBN 0-521-57352-1. doi:10.1017/CBO9781139086547 （英语）.

arxiv.org

Shuman, David I; Ricaud, Benjamin; Vandergheynst, Pierre. Vertex-frequency analysis on graphs [圖上的頂點頻率分析]. Applied and Computational Harmonic Analysis. March 2016, 40 (2): 260–291. ISSN 1063-5203. arXiv:1307.5708 . doi:10.1016/j.acha.2015.02.005 （英语）.

doi.org

Collatz, Lothar; Sinogowitz, Ulrich. Spektren endlicher Grafen [有限圖之譜]. Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg. 1957, 21: 63–77. doi:10.1007/BF02941924 （德语）.
Hosoya, Haruo; Nagashima, Umpei; Hyugaji, Sachiko. Topological twin graphs. Smallest pair of isospectral polyhedral graphs with eight vertices [拓撲孿生圖。最小一對八頂點等譜多面體圖]. Journal of Chemical Information and Modeling. 1994, 34 (2): 428–431. doi:10.1021/ci00018a033 （英语）.
Sunada, Toshikazu. Riemannian coverings and isospectral manifolds [黎曼覆疊和等譜流形]. Ann. of Math. 1985, 121 (1): 169–186. JSTOR 1971195. doi:10.2307/1971195 （英语）.
Hoory, Linial & Wigderson (2006)的Definition 2.1 Hoory, Shlomo; Linial, Nathan; Wigderson, Avi. Expander graphs and their applications [擴展圖及其應用] (PDF). Bulletin (New Series) of the American Mathematical Society. 2006-10, 43 (4): 439–561 [2022-02-18]. doi:10.1090/S0273-0979-06-01126-8. （原始内容 (PDF)存档于2022-01-13）（英语）.
Alon, N.; Milman, V. D. λ₁, isoperimetric inequalities for graphs, and superconcentrators [λ₁、圖之等周不等式、超集中器]. Journal of Combinatorial Theory, Series B. 1985, 38 (1): 73–88. MR 0782626. doi:10.1016/0095-8956(85)90092-9 （英语）.
Hoory, Linial & Wigderson (2006)的Theorem 2.4。 Hoory, Shlomo; Linial, Nathan; Wigderson, Avi. Expander graphs and their applications [擴展圖及其應用] (PDF). Bulletin (New Series) of the American Mathematical Society. 2006-10, 43 (4): 439–561 [2022-02-18]. doi:10.1090/S0273-0979-06-01126-8. （原始内容 (PDF)存档于2022-01-13）（英语）.
Godsil, Christopher; Meagher, Karen. Erdős–Ko–Rado theorems: algebraic approaches [艾狄胥-柯-雷多諸定理：代數進路]. Cambridge, United Kingdom. 2016. ISBN 9781107128446. OCLC 935456305. doi:10.1017/CBO9781316414958 （英语）.
Cvetković, Dragoš; Rowlinson, Peter; Simić, Slobodan. Eigenspaces of Graphs [圖之本徵空間]. Cambridge University Press. 1997. ISBN 0-521-57352-1. doi:10.1017/CBO9781139086547 （英语）.
Cvetković, Dragoš M.; Doob, Michael; Gutman, Ivan; Torgasev, A. Recent Results in the Theory of Graph Spectra [圖譜論之近期成果]. Annals of Discrete mathematics 36. 1988 [2022-01-05]. ISBN 0-444-70361-6. doi:10.1016/s0167-5060(08)x7010-4. （原始内容存档于2017-11-05）（英语）.
Sunada, Toshikazu. Discrete geometric analysis [離散幾何分析]. Proceedings of Symposia in Pure Mathematics. 2008, 77: 51–86. ISBN 9780821844717. doi:10.1090/pspum/077/2459864 （英语）.
Shuman, David I; Ricaud, Benjamin; Vandergheynst, Pierre. Vertex-frequency analysis on graphs [圖上的頂點頻率分析]. Applied and Computational Harmonic Analysis. March 2016, 40 (2): 260–291. ISSN 1063-5203. arXiv:1307.5708 . doi:10.1016/j.acha.2015.02.005 （英语）.
Stankovic, Ljubisa; Dakovic, Milos; Sejdic, Ervin. Vertex-Frequency Analysis: A Way to Localize Graph Spectral Components [Lecture Notes] [頂點頻率分析：局部化圖譜分量的方法 [講義]]. IEEE Signal Processing Magazine. July 2017, 34 (4): 176–182. Bibcode:2017ISPM...34..176S. ISSN 1053-5888. doi:10.1109/msp.2017.2696572 （英语）.
Sakiyama, Akie; Watanabe, Kana; Tanaka, Yuichi. Spectral Graph Wavelets and Filter Banks With Low Approximation Error [譜圖小波和低近似誤差的濾波器組]. IEEE Transactions on Signal and Information Processing over Networks. September 2016, 2 (3): 230–245. ISSN 2373-776X. doi:10.1109/tsipn.2016.2581303 （英语）.
Behjat, Hamid; Richter, Ulrike; Van De Ville, Dimitri; Sornmo, Leif. Signal-Adapted Tight Frames on Graphs [圖上適應訊號的緊標架]. IEEE Transactions on Signal Processing. 2016-11-15, 64 (22): 6017–6029 [2022-01-05]. Bibcode:2016ITSP...64.6017B. ISSN 1053-587X. doi:10.1109/tsp.2016.2591513. （原始内容存档于2022-01-05）（英语）.

epfl.ch

infoscience.epfl.ch

Behjat, Hamid; Richter, Ulrike; Van De Ville, Dimitri; Sornmo, Leif. Signal-Adapted Tight Frames on Graphs [圖上適應訊號的緊標架]. IEEE Transactions on Signal Processing. 2016-11-15, 64 (22): 6017–6029 [2022-01-05]. Bibcode:2016ITSP...64.6017B. ISSN 1053-587X. doi:10.1109/tsp.2016.2591513. （原始内容存档于2022-01-05）（英语）.

harvard.edu

ui.adsabs.harvard.edu

Stankovic, Ljubisa; Dakovic, Milos; Sejdic, Ervin. Vertex-Frequency Analysis: A Way to Localize Graph Spectral Components [Lecture Notes] [頂點頻率分析：局部化圖譜分量的方法 [講義]]. IEEE Signal Processing Magazine. July 2017, 34 (4): 176–182. Bibcode:2017ISPM...34..176S. ISSN 1053-5888. doi:10.1109/msp.2017.2696572 （英语）.
Behjat, Hamid; Richter, Ulrike; Van De Ville, Dimitri; Sornmo, Leif. Signal-Adapted Tight Frames on Graphs [圖上適應訊號的緊標架]. IEEE Transactions on Signal Processing. 2016-11-15, 64 (22): 6017–6029 [2022-01-05]. Bibcode:2016ITSP...64.6017B. ISSN 1053-587X. doi:10.1109/tsp.2016.2591513. （原始内容存档于2022-01-05）（英语）.

huji.ac.il

cs.huji.ac.il

Hoory, Linial & Wigderson (2006)的Definition 2.1 Hoory, Shlomo; Linial, Nathan; Wigderson, Avi. Expander graphs and their applications [擴展圖及其應用] (PDF). Bulletin (New Series) of the American Mathematical Society. 2006-10, 43 (4): 439–561 [2022-02-18]. doi:10.1090/S0273-0979-06-01126-8. （原始内容 (PDF)存档于2022-01-13）（英语）.
Hoory, Linial & Wigderson (2006)的Theorem 2.4。 Hoory, Shlomo; Linial, Nathan; Wigderson, Avi. Expander graphs and their applications [擴展圖及其應用] (PDF). Bulletin (New Series) of the American Mathematical Society. 2006-10, 43 (4): 439–561 [2022-02-18]. doi:10.1090/S0273-0979-06-01126-8. （原始内容 (PDF)存档于2022-01-13）（英语）.

jstor.org

Sunada, Toshikazu. Riemannian coverings and isospectral manifolds [黎曼覆疊和等譜流形]. Ann. of Math. 1985, 121 (1): 169–186. JSTOR 1971195. doi:10.2307/1971195 （英语）.

sciencedirect.com

Cvetković, Dragoš M.; Doob, Michael; Gutman, Ivan; Torgasev, A. Recent Results in the Theory of Graph Spectra [圖譜論之近期成果]. Annals of Discrete mathematics 36. 1988 [2022-01-05]. ISBN 0-444-70361-6. doi:10.1016/s0167-5060(08)x7010-4. （原始内容存档于2017-11-05）（英语）.

tue.nl

win.tue.nl

Brouwer, Andries; Haemers, Willem H. §14.2.2 Partial linear spaces [第14.2.2小節：半線性空間]. Spectra of Graphs [圖之譜] (PDF). Springer. 2011 [2022-02-18]. （原始内容 (PDF)存档于2022-02-04）（英语）.

ucsd.edu

math.ucsd.edu

Chung, Fan. Spectral Graph Theory [譜圖論]. Providence, R. I.: American Mathematical Society. 1997 [2022-01-10]. ISBN 0821803158. MR 1421568. （原始内容存档于2020-02-14）（英语）前四章可於網頁查閱

uwaterloo.ca

math.uwaterloo.ca

Godsil, Chris. Are Almost All Graphs Cospectral? [幾乎所有圖皆共譜嗎？] (PDF). 2007-11-07 [2022-01-04]. （原始内容 (PDF)存档于2022-01-04）（英语）.
Godsil, Chris. Erdős-Ko-Rado Theorems [艾狄胥-柯-雷多諸定理] (PDF). 2009-05 [2022-01-05]. （原始内容 (PDF)存档于2022-01-20）（英语）.

web.archive.org

Godsil, Chris. Are Almost All Graphs Cospectral? [幾乎所有圖皆共譜嗎？] (PDF). 2007-11-07 [2022-01-04]. （原始内容 (PDF)存档于2022-01-04）（英语）.
Brouwer, Andries; Haemers, Willem H. §14.2.2 Partial linear spaces [第14.2.2小節：半線性空間]. Spectra of Graphs [圖之譜] (PDF). Springer. 2011 [2022-02-18]. （原始内容 (PDF)存档于2022-02-04）（英语）.
Hoory, Linial & Wigderson (2006)的Definition 2.1 Hoory, Shlomo; Linial, Nathan; Wigderson, Avi. Expander graphs and their applications [擴展圖及其應用] (PDF). Bulletin (New Series) of the American Mathematical Society. 2006-10, 43 (4): 439–561 [2022-02-18]. doi:10.1090/S0273-0979-06-01126-8. （原始内容 (PDF)存档于2022-01-13）（英语）.
Hoory, Linial & Wigderson (2006)的Theorem 2.4。 Hoory, Shlomo; Linial, Nathan; Wigderson, Avi. Expander graphs and their applications [擴展圖及其應用] (PDF). Bulletin (New Series) of the American Mathematical Society. 2006-10, 43 (4): 439–561 [2022-02-18]. doi:10.1090/S0273-0979-06-01126-8. （原始内容 (PDF)存档于2022-01-13）（英语）.
Chung, Fan. Spectral Graph Theory [譜圖論]. Providence, R. I.: American Mathematical Society. 1997 [2022-01-10]. ISBN 0821803158. MR 1421568. （原始内容存档于2020-02-14）（英语）前四章可於網頁查閱
Godsil, Chris. Erdős-Ko-Rado Theorems [艾狄胥-柯-雷多諸定理] (PDF). 2009-05 [2022-01-05]. （原始内容 (PDF)存档于2022-01-20）（英语）.
Cvetković, Dragoš M.; Doob, Michael; Gutman, Ivan; Torgasev, A. Recent Results in the Theory of Graph Spectra [圖譜論之近期成果]. Annals of Discrete mathematics 36. 1988 [2022-01-05]. ISBN 0-444-70361-6. doi:10.1016/s0167-5060(08)x7010-4. （原始内容存档于2017-11-05）（英语）.
Behjat, Hamid; Richter, Ulrike; Van De Ville, Dimitri; Sornmo, Leif. Signal-Adapted Tight Frames on Graphs [圖上適應訊號的緊標架]. IEEE Transactions on Signal Processing. 2016-11-15, 64 (22): 6017–6029 [2022-01-05]. Bibcode:2016ITSP...64.6017B. ISSN 1053-587X. doi:10.1109/tsp.2016.2591513. （原始内容存档于2022-01-05）（英语）.

wolfram.com

mathworld.wolfram.com

Weisstein, Eric W. (编). Cospectral Graphs. at MathWorld--A Wolfram Web Resource. Wolfram Research, Inc. （英语）.

worldcat.org

Schwenk, A. J. Almost All Trees are Cospectral [幾乎全體樹皆共譜]. Harary, Frank (编). New Directions in the Theory of Graphs [圖論之新方向]. New York: Academic Press. 1973: 275–307. ISBN 012324255X. OCLC 890297242 （英语）.
Godsil, Christopher; Meagher, Karen. Erdős–Ko–Rado theorems: algebraic approaches [艾狄胥-柯-雷多諸定理：代數進路]. Cambridge, United Kingdom. 2016. ISBN 9781107128446. OCLC 935456305. doi:10.1017/CBO9781316414958 （英语）.
Shuman, David I; Ricaud, Benjamin; Vandergheynst, Pierre. Vertex-frequency analysis on graphs [圖上的頂點頻率分析]. Applied and Computational Harmonic Analysis. March 2016, 40 (2): 260–291. ISSN 1063-5203. arXiv:1307.5708 . doi:10.1016/j.acha.2015.02.005 （英语）.
Stankovic, Ljubisa; Dakovic, Milos; Sejdic, Ervin. Vertex-Frequency Analysis: A Way to Localize Graph Spectral Components [Lecture Notes] [頂點頻率分析：局部化圖譜分量的方法 [講義]]. IEEE Signal Processing Magazine. July 2017, 34 (4): 176–182. Bibcode:2017ISPM...34..176S. ISSN 1053-5888. doi:10.1109/msp.2017.2696572 （英语）.
Sakiyama, Akie; Watanabe, Kana; Tanaka, Yuichi. Spectral Graph Wavelets and Filter Banks With Low Approximation Error [譜圖小波和低近似誤差的濾波器組]. IEEE Transactions on Signal and Information Processing over Networks. September 2016, 2 (3): 230–245. ISSN 2373-776X. doi:10.1109/tsipn.2016.2581303 （英语）.
Behjat, Hamid; Richter, Ulrike; Van De Ville, Dimitri; Sornmo, Leif. Signal-Adapted Tight Frames on Graphs [圖上適應訊號的緊標架]. IEEE Transactions on Signal Processing. 2016-11-15, 64 (22): 6017–6029 [2022-01-05]. Bibcode:2016ITSP...64.6017B. ISSN 1053-587X. doi:10.1109/tsp.2016.2591513. （原始内容存档于2022-01-05）（英语）.