In this Note, we introduce a formula for the edge Szeged index of bridge graphs. Using this formula, the edge Szeged indices of several graphs are computed.
Nous présentons une formule pour lʼindice de Szedge pour les arêtes de graphes pontés. Nous calculons également, grâce à cette formule, les indices de Szedge dʼarête de plusieurs graphes.
Accepted:
Published online:
Rundan Xing 1; Bo Zhou 1
@article{CRMATH_2011__349_9-10_489_0, author = {Rundan Xing and Bo Zhou}, title = {On the edge {Szeged} index of bridge graphs}, journal = {Comptes Rendus. Math\'ematique}, pages = {489--492}, publisher = {Elsevier}, volume = {349}, number = {9-10}, year = {2011}, doi = {10.1016/j.crma.2011.04.006}, language = {en}, }
Rundan Xing; Bo Zhou. On the edge Szeged index of bridge graphs. Comptes Rendus. Mathématique, Volume 349 (2011) no. 9-10, pp. 489-492. doi : 10.1016/j.crma.2011.04.006. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2011.04.006/
[1] Edge Szeged index of unicyclic graphs, MATCH Commun. Math. Comput. Chem., Volume 63 (2010), pp. 133-144
[2] Graphs having maximal value of the Szeged index, Croat. Chem. Acta, Volume 70 (1997), pp. 819-825
[3] A formula for the Wiener number of trees and its extension to graphs containing cycles, Graph Theory Notes N. Y., Volume 27 (1994), pp. 9-15
[4] The edge version of the Szeged index, Croat. Chem. Acta, Volume 81 (2008), pp. 263-266
[5] Note on PI and Szeged indices, Math. Comput. Modelling, Volume 52 (2010), pp. 1570-1576
[6] The Szeged index and an analogy with the Wiener index, J. Chem. Inf. Comput. Sci., Volume 35 (1995), pp. 547-550
[7] Szeged index – Applications for drug modeling, Lett. Drug Design Discov., Volume 2 (2005), pp. 606-624
[8] The edge Szeged index of product graphs, Croat. Chem. Acta, Volume 81 (2008), pp. 277-281
[9] The Szeged and the Wiener index of graphs, Appl. Math. Lett., Volume 9 (1996), pp. 45-49
[10] The vertex PI index and Szeged index of bridge graphs, Discrete Appl. Math., Volume 157 (2009), pp. 1600-1606
[11] Wiener, hyper-Wiener, detour and hyper-detour indices of bridge and chain graphs, J. Math. Chem., Volume 47 (2010), pp. 72-98
[12] Some graphs with extremal Szeged index, Math. Slovaca, Volume 50 (2000), pp. 1-15
[13] Chemical Graph Theory, CRC Press, Boca Raton, FL, 1992
[14] Note on the graphs with the greatest edge-Szeged index, MATCH Commun. Math. Comput. Chem., Volume 61 (2009), pp. 673-681
[15] Structural determination of paraffin boiling points, J. Am. Chem. Soc., Volume 69 (1947), pp. 17-20
[16] Szeged index of symmetric graphs, J. Chem. Inf. Comput. Sci., Volume 39 (1999), pp. 77-80
[17] On Szeged indices of unicyclic graphs, MATCH Commun. Math. Comput. Chem., Volume 63 (2010), pp. 113-132
Cited by Sources:
Comments - Policy