×
Mathad, Veena; Parvathi

The eccentric hub number of a graph. (English) Zbl 07835796

Adv. Appl. Discrete Math. 40, No. 2, 139-165 (2023).

MSC:

05C69 Vertex subsets with special properties (dominating sets, independent sets, cliques, etc.)
05C99 Graph theory

Keywords:

hub number; eccentric hub number; eccentric hub graph
Cite Review PDF
Full Text: DOI

References:

[1] F. Harary, Graph Theory, Addison Wesley, Reading Mass, 1969. · Zbl 0182.57702
[2] T. W. Haynes, S. T. Hedetniemi and P. J. Slater, Fundamentals of Domination in Graphs, Marcel Dekker Inc., 1998. · Zbl 0890.05002
[3] T. N. Janakiraman, M. Bhanumathi and S. Muthammai, Eccentric domination in graphs, International Journal of Engineering Science Advanced Computing and Bio-Technology 1(2) (2010), 55-70.
[4] Matthew Walsh, The hub number of a graph, International Journal of Mathematics and Computer Science 1 (2006), 117-124. · Zbl 1090.05045
[5] Shadi Ibrahim Khalaf, Veena Mathad and Sultan Senan Mahde, Hubtic number in graphs, Opuscula Mathematica 38(6) (2018), 841-847. · Zbl 1403.05076
[6] Shadi Ibrahim Khalaf, Veena Mathad and Sultan Senan Mahde, Hub and global hub numbers of a graph, Proceedings of the Jangjeon Mathematical Society 23(2) (2020), 231-239. · Zbl 1490.05140
[7] Tracy Grauman, Stephen G. Hartke, Adam Jobson, Bill Kinnersley, Douglas B. West, Lesley Wiglesworth, Pratik Worah and Hehui Wu, The hub number of a graph, Information Processing Letters 108 (2008), 226-228. · Zbl 1189.05163
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.