The Connected Vertex Strong Geodetic Number of a Graph
Abstract
Keywords
Full Text:
PDFReferences
F. Buckley and F. Harary, Distance in Graphs, Addison-Wesley, Redwood City, CA, 1990.
L. G. Bino Infanta and D. Antony Xavier, Strong upper geodetic number of graphs, Communications in Mathematics and Applications 12(3), (2021)737–748.
G. Chartrand and P. Zhang, The forcing geodetic number of a graph, Discuss. Math. Graph Theory, 19 (1999), 45-58.
G. Chartrand, F. Harary and P. Zhang, On the geodetic number of a graph, Networks, 39 (2002), 1-6.
V. Gledel, V. Irsic, and S. Klavzar, Strong geodetic cores and cartesian product graphs, arXiv:1803.11423 [math.CO] (30 Mar 2018).
Huifen Ge, Zao Wang-and Jinyu Zou Strong geodetic number in some networks, Journal of Mathematical Resarch-11(2), (2019), 20-29.
V. Irsic, Strong geodetic number of complete bipartite graphs and of graphs with specified diameter, Graphs and Combin. 34 (2018) 443–456.
V. Irsic, and S. Klavzar, Strong geodetic problem on Cartesian products of graphs, RAIRO Oper. Res. 52 (2018) 205–216.
P. Manuel, S. Klavzar, A. Xavier, A. Arokiaraj, and E. Thomas, Strong edge geodetic problem in networks, Open Math. 15 (2017) 1225–1235.
C. Saritha and T. Muthu Nesa Beula, The forcing strong geodetic number of a graph, proceedings of the International conference on Advances and Applications in Mathematical Sciences, 2022,76-80.
C. Saritha and T. Muthu Nesa Beula, The vertex strong geodetic number of a graph, (Communicated)
DOI: http://dx.doi.org/10.23755/rm.v45i0.978
Refbacks
- There are currently no refbacks.
Copyright (c) 2023 Saritha C, Muthu Nesa Beula T
This work is licensed under a Creative Commons Attribution 4.0 International License.
Ratio Mathematica - Journal of Mathematics, Statistics, and Applications. ISSN 1592-7415; e-ISSN 2282-8214.