Department of Pure Mathematics, Ferdowsi University of Mashhad, Mashhad, P. O. Box 1159, Mashhad 91775, Iran.
10.22034/kjm.2021.238888.1917
Abstract
A graph is called $3$-self-centered if all of its vertices have eccentricity $3.$ In this paper, we study some properties of the $3$-self-centered graphs, and investigate the $3$-self-centered graphs with girth six or seven. We determine the vertex connectivity and regularity of such graphs. Moreover, we show that if $G$ is a $3$-self-centered graph with girth seven, then $G$ is regular.
Imani, E., & Mirzavaziri, M. (2022). Self-Centered Graphs With Diameter 3. Khayyam Journal of Mathematics, 8(1), 17-24. doi: 10.22034/kjm.2021.238888.1917
MLA
Elham Imani; Madjid Mirzavaziri. "Self-Centered Graphs With Diameter 3". Khayyam Journal of Mathematics, 8, 1, 2022, 17-24. doi: 10.22034/kjm.2021.238888.1917
HARVARD
Imani, E., Mirzavaziri, M. (2022). 'Self-Centered Graphs With Diameter 3', Khayyam Journal of Mathematics, 8(1), pp. 17-24. doi: 10.22034/kjm.2021.238888.1917
VANCOUVER
Imani, E., Mirzavaziri, M. Self-Centered Graphs With Diameter 3. Khayyam Journal of Mathematics, 2022; 8(1): 17-24. doi: 10.22034/kjm.2021.238888.1917
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