Metric dimension (graph theory) (English Wikipedia)

Analysis of information sources in references of the Wikipedia article "Metric dimension (graph theory)" in English language version.

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mathscinet.ams.org

Slater 1975; Harary & Melter 1976; Khuller, Raghavachari & Rosenfeld 1996. Note Slater's nonstandard definition of the leaves of a tree. Slater, P. J. (1975), "Leaves of trees", Proc. 6th Southeastern Conference on Combinatorics, Graph Theory, and Computing (Florida Atlantic Univ., Boca Raton, Fla., 1975), Congressus Numerantium, vol. 14, Winnipeg: Utilitas Math., pp. 549–559, MR 0422062. Harary, F.; Melter, R. A. (1976), "On the metric dimension of a graph", Ars Combinatoria, 2: 191–195, MR 0457289. Khuller, S.; Raghavachari, B.; Rosenfeld, A. (1996), "Landmarks in graphs", Discrete Applied Mathematics, 70 (3): 217–229, doi:10.1016/0166-218x(95)00106-2, hdl:10338.dmlcz/140702.
Slater 1975; Harary & Melter 1976. Slater, P. J. (1975), "Leaves of trees", Proc. 6th Southeastern Conference on Combinatorics, Graph Theory, and Computing (Florida Atlantic Univ., Boca Raton, Fla., 1975), Congressus Numerantium, vol. 14, Winnipeg: Utilitas Math., pp. 549–559, MR 0422062. Harary, F.; Melter, R. A. (1976), "On the metric dimension of a graph", Ars Combinatoria, 2: 191–195, MR 0457289.
Hauptmann, Schmied & Viehmann 2012. Hauptmann, Mathias; Schmied, Richard; Viehmann, Claus (2012), "Approximation complexity of metric dimension problem", Journal of Discrete Algorithms, 14: 214–222, doi:10.1016/j.jda.2011.12.010, MR 2922072.

arxiv.org

Feng, Xu & Wang 2013. Feng, Min; Xu, Min; Wang, Kaishun (2013), "On the metric dimension of line graphs", Discrete Applied Mathematics, 161 (6): 802–805, arXiv:1107.4140, doi:10.1016/j.dam.2012.10.018, S2CID 36010185.
Díaz et al. 2012. Díaz, J.; Pottonen, O.; Serna, M. J.; van Leeuwen, E. J. (2012), "On the complexity of metric dimension" (PDF), in Epstein, Leah; Ferragina, Paolo (eds.), Algorithms – ESA 2012: 20th Annual European Symposium, Ljubljana, Slovenia, September 10-12, 2012, Proceedings, Lecture Notes in Computer Science, vol. 7501, Springer, pp. 419–430, arXiv:1107.2256, doi:10.1007/978-3-642-33090-2_37, ISBN 978-3-642-33089-6.
Hoffmann & Wanke 2013. Hoffmann, Stefan; Wanke, Egon (2013), "Metric Dimension for Gabriel Unit Disk Graphs Is NP-Complete", in Bar-Noy, Amotz; Halldórsson, Magnús M. (eds.), Algorithms for Sensor Systems: 8th International Symposium on Algorithms for Sensor Systems, Wireless Ad Hoc Networks and Autonomous Mobile Entities, ALGOSENSORS 2012, Ljubljana, Slovenia, September 13-14, 2012, Revised Selected Papers, Lecture Notes in Computer Science, vol. 7718, Springer, pp. 90–92, arXiv:1306.2187, doi:10.1007/978-3-642-36092-3_10, ISBN 978-3-642-36091-6, S2CID 9740623.
Foucaud et al. 2017b. Foucaud, Florent; Mertzios, George B.; Naserasr, Reza; Parreau, Aline; Valicov, Petru (2017b), "Identification, location-domination and metric dimension on interval and permutation graphs. II. Algorithms and complexity", Algorithmica, 78 (3): 914–944, arXiv:1405.2424, doi:10.1007/s00453-016-0184-1, S2CID 1520161.
Li & Pilipczuk 2022. Li, Shaohua; Pilipczuk, Marcin (July 2022), "Hardness of metric dimension in graphs of constant treewidth", Algorithmica, 84 (11): 3110–3155, arXiv:2102.09791, doi:10.1007/s00453-022-01005-y, S2CID 231979414
Hartung & Nichterlein 2013. Hartung, Sepp; Nichterlein, André (2013), "On the parameterized and approximation hardness of metric dimension", 2013 IEEE Conference on Computational Complexity (CCC), Stanford, CA, USA, June 5-7, 2013, Proceedings, IEEE, pp. 266–276, arXiv:1211.1636, doi:10.1109/CCC.2013.36, ISBN 978-0-7695-4997-2, S2CID 684505.
Eppstein 2015. Eppstein, David (2015), "Metric dimension parameterized by max leaf number", Journal of Graph Algorithms and Applications, 19 (1): 313–323, arXiv:1506.01749, doi:10.7155/jgaa.00360, S2CID 1318601.

doi.org

Slater 1975; Harary & Melter 1976; Khuller, Raghavachari & Rosenfeld 1996. Note Slater's nonstandard definition of the leaves of a tree. Slater, P. J. (1975), "Leaves of trees", Proc. 6th Southeastern Conference on Combinatorics, Graph Theory, and Computing (Florida Atlantic Univ., Boca Raton, Fla., 1975), Congressus Numerantium, vol. 14, Winnipeg: Utilitas Math., pp. 549–559, MR 0422062. Harary, F.; Melter, R. A. (1976), "On the metric dimension of a graph", Ars Combinatoria, 2: 191–195, MR 0457289. Khuller, S.; Raghavachari, B.; Rosenfeld, A. (1996), "Landmarks in graphs", Discrete Applied Mathematics, 70 (3): 217–229, doi:10.1016/0166-218x(95)00106-2, hdl:10338.dmlcz/140702.
Feng, Xu & Wang 2013. Feng, Min; Xu, Min; Wang, Kaishun (2013), "On the metric dimension of line graphs", Discrete Applied Mathematics, 161 (6): 802–805, arXiv:1107.4140, doi:10.1016/j.dam.2012.10.018, S2CID 36010185.
Díaz et al. 2012. Díaz, J.; Pottonen, O.; Serna, M. J.; van Leeuwen, E. J. (2012), "On the complexity of metric dimension" (PDF), in Epstein, Leah; Ferragina, Paolo (eds.), Algorithms – ESA 2012: 20th Annual European Symposium, Ljubljana, Slovenia, September 10-12, 2012, Proceedings, Lecture Notes in Computer Science, vol. 7501, Springer, pp. 419–430, arXiv:1107.2256, doi:10.1007/978-3-642-33090-2_37, ISBN 978-3-642-33089-6.
Epstein, Levin & Woeginger 2012. Epstein, Leah; Levin, Asaf; Woeginger, Gerhard J. (2012), "The (weighted) metric dimension of graphs: hard and easy cases", in Golumbic, Martin Charles; Stern, Michal; Levy, Avivit; et al. (eds.), Graph-Theoretic Concepts in Computer Science: 38th International Workshop, WG 2012, Jerusalem, Israel, June 26-28, 2012, Revised Selected Papers, Lecture Notes in Computer Science, vol. 7551, pp. 114–125, doi:10.1007/978-3-642-34611-8_14, ISBN 978-3-642-34610-1.
Hoffmann & Wanke 2013. Hoffmann, Stefan; Wanke, Egon (2013), "Metric Dimension for Gabriel Unit Disk Graphs Is NP-Complete", in Bar-Noy, Amotz; Halldórsson, Magnús M. (eds.), Algorithms for Sensor Systems: 8th International Symposium on Algorithms for Sensor Systems, Wireless Ad Hoc Networks and Autonomous Mobile Entities, ALGOSENSORS 2012, Ljubljana, Slovenia, September 13-14, 2012, Revised Selected Papers, Lecture Notes in Computer Science, vol. 7718, Springer, pp. 90–92, arXiv:1306.2187, doi:10.1007/978-3-642-36092-3_10, ISBN 978-3-642-36091-6, S2CID 9740623.
Foucaud et al. 2017b. Foucaud, Florent; Mertzios, George B.; Naserasr, Reza; Parreau, Aline; Valicov, Petru (2017b), "Identification, location-domination and metric dimension on interval and permutation graphs. II. Algorithms and complexity", Algorithmica, 78 (3): 914–944, arXiv:1405.2424, doi:10.1007/s00453-016-0184-1, S2CID 1520161.
Li & Pilipczuk 2022. Li, Shaohua; Pilipczuk, Marcin (July 2022), "Hardness of metric dimension in graphs of constant treewidth", Algorithmica, 84 (11): 3110–3155, arXiv:2102.09791, doi:10.1007/s00453-022-01005-y, S2CID 231979414
Belmonte et al. 2015. Belmonte, R.; Fomin, F. V.; Golovach, P. A.; Ramanujan, M. S. (2015), "Metric dimension of bounded width graphs", in Italiano, G. F.; Pighizzini, G.; Sannella, D. T. (eds.), Mathematical Foundations of Computer Science 2015 – MFCS 2015: 40th International Symposium, Milan, Italy, August 24-28, 2015, Proceedings, Lecture Notes in Computer Science, vol. 9235, Springer, pp. 115–126, doi:10.1007/978-3-662-48054-0_10, ISBN 978-3-662-48053-3.
Fernau et al. 2015. Fernau, Henning; Heggernes, Pinar; van 't Hof, Pim; Meister, Daniel; Saei, Reza (2015), "Computing the metric dimension for chain graphs", Information Processing Letters, 115 (9): 671–676, doi:10.1016/j.ipl.2015.04.006.
Hoffmann, Elterman & Wanke 2016. Hoffmann, Stefan; Elterman, Alina; Wanke, Egon (2016), "A linear time algorithm for metric dimension of cactus block graphs", Theoretical Computer Science, 630: 43–62, doi:10.1016/j.tcs.2016.03.024
Hartung & Nichterlein 2013. Hartung, Sepp; Nichterlein, André (2013), "On the parameterized and approximation hardness of metric dimension", 2013 IEEE Conference on Computational Complexity (CCC), Stanford, CA, USA, June 5-7, 2013, Proceedings, IEEE, pp. 266–276, arXiv:1211.1636, doi:10.1109/CCC.2013.36, ISBN 978-0-7695-4997-2, S2CID 684505.
Eppstein 2015. Eppstein, David (2015), "Metric dimension parameterized by max leaf number", Journal of Graph Algorithms and Applications, 19 (1): 313–323, arXiv:1506.01749, doi:10.7155/jgaa.00360, S2CID 1318601.
Khuller, Raghavachari & Rosenfeld 1996. Khuller, S.; Raghavachari, B.; Rosenfeld, A. (1996), "Landmarks in graphs", Discrete Applied Mathematics, 70 (3): 217–229, doi:10.1016/0166-218x(95)00106-2, hdl:10338.dmlcz/140702.
Hauptmann, Schmied & Viehmann 2012. Hauptmann, Mathias; Schmied, Richard; Viehmann, Claus (2012), "Approximation complexity of metric dimension problem", Journal of Discrete Algorithms, 14: 214–222, doi:10.1016/j.jda.2011.12.010, MR 2922072.

handle.net

hdl.handle.net

Slater 1975; Harary & Melter 1976; Khuller, Raghavachari & Rosenfeld 1996. Note Slater's nonstandard definition of the leaves of a tree. Slater, P. J. (1975), "Leaves of trees", Proc. 6th Southeastern Conference on Combinatorics, Graph Theory, and Computing (Florida Atlantic Univ., Boca Raton, Fla., 1975), Congressus Numerantium, vol. 14, Winnipeg: Utilitas Math., pp. 549–559, MR 0422062. Harary, F.; Melter, R. A. (1976), "On the metric dimension of a graph", Ars Combinatoria, 2: 191–195, MR 0457289. Khuller, S.; Raghavachari, B.; Rosenfeld, A. (1996), "Landmarks in graphs", Discrete Applied Mathematics, 70 (3): 217–229, doi:10.1016/0166-218x(95)00106-2, hdl:10338.dmlcz/140702.
Khuller, Raghavachari & Rosenfeld 1996. Khuller, S.; Raghavachari, B.; Rosenfeld, A. (1996), "Landmarks in graphs", Discrete Applied Mathematics, 70 (3): 217–229, doi:10.1016/0166-218x(95)00106-2, hdl:10338.dmlcz/140702.

kobv.de

opus4.kobv.de

Hartung 2014. Hartung, Sepp (2014), Exploring parameter spaces in coping with computational intractability, PhD thesis, Technische Universität Berlin, retrieved 2015-09-15.

semanticscholar.org

api.semanticscholar.org

Feng, Xu & Wang 2013. Feng, Min; Xu, Min; Wang, Kaishun (2013), "On the metric dimension of line graphs", Discrete Applied Mathematics, 161 (6): 802–805, arXiv:1107.4140, doi:10.1016/j.dam.2012.10.018, S2CID 36010185.
Hoffmann & Wanke 2013. Hoffmann, Stefan; Wanke, Egon (2013), "Metric Dimension for Gabriel Unit Disk Graphs Is NP-Complete", in Bar-Noy, Amotz; Halldórsson, Magnús M. (eds.), Algorithms for Sensor Systems: 8th International Symposium on Algorithms for Sensor Systems, Wireless Ad Hoc Networks and Autonomous Mobile Entities, ALGOSENSORS 2012, Ljubljana, Slovenia, September 13-14, 2012, Revised Selected Papers, Lecture Notes in Computer Science, vol. 7718, Springer, pp. 90–92, arXiv:1306.2187, doi:10.1007/978-3-642-36092-3_10, ISBN 978-3-642-36091-6, S2CID 9740623.
Foucaud et al. 2017b. Foucaud, Florent; Mertzios, George B.; Naserasr, Reza; Parreau, Aline; Valicov, Petru (2017b), "Identification, location-domination and metric dimension on interval and permutation graphs. II. Algorithms and complexity", Algorithmica, 78 (3): 914–944, arXiv:1405.2424, doi:10.1007/s00453-016-0184-1, S2CID 1520161.
Li & Pilipczuk 2022. Li, Shaohua; Pilipczuk, Marcin (July 2022), "Hardness of metric dimension in graphs of constant treewidth", Algorithmica, 84 (11): 3110–3155, arXiv:2102.09791, doi:10.1007/s00453-022-01005-y, S2CID 231979414
Hartung & Nichterlein 2013. Hartung, Sepp; Nichterlein, André (2013), "On the parameterized and approximation hardness of metric dimension", 2013 IEEE Conference on Computational Complexity (CCC), Stanford, CA, USA, June 5-7, 2013, Proceedings, IEEE, pp. 266–276, arXiv:1211.1636, doi:10.1109/CCC.2013.36, ISBN 978-0-7695-4997-2, S2CID 684505.
Eppstein 2015. Eppstein, David (2015), "Metric dimension parameterized by max leaf number", Journal of Graph Algorithms and Applications, 19 (1): 313–323, arXiv:1506.01749, doi:10.7155/jgaa.00360, S2CID 1318601.

tue.nl

research.tue.nl

Epstein, Levin & Woeginger 2012. Epstein, Leah; Levin, Asaf; Woeginger, Gerhard J. (2012), "The (weighted) metric dimension of graphs: hard and easy cases", in Golumbic, Martin Charles; Stern, Michal; Levy, Avivit; et al. (eds.), Graph-Theoretic Concepts in Computer Science: 38th International Workshop, WG 2012, Jerusalem, Israel, June 26-28, 2012, Revised Selected Papers, Lecture Notes in Computer Science, vol. 7551, pp. 114–125, doi:10.1007/978-3-642-34611-8_14, ISBN 978-3-642-34610-1.

upc.edu

lsi.upc.edu

Díaz et al. 2012. Díaz, J.; Pottonen, O.; Serna, M. J.; van Leeuwen, E. J. (2012), "On the complexity of metric dimension" (PDF), in Epstein, Leah; Ferragina, Paolo (eds.), Algorithms – ESA 2012: 20th Annual European Symposium, Ljubljana, Slovenia, September 10-12, 2012, Proceedings, Lecture Notes in Computer Science, vol. 7501, Springer, pp. 419–430, arXiv:1107.2256, doi:10.1007/978-3-642-33090-2_37, ISBN 978-3-642-33089-6.