Rupture Degree of Some Cartesian Product Graphs - Open Journal of Discrete Mathematics

OJDM > Vol.13 No.1, January 2023

Open Journal of Discrete Mathematics

Volume 13, Issue 1 (January 2023)

ISSN Print: 2161-7635 ISSN Online: 2161-7643

Google-based Impact Factor: 0.39 Citations

Rupture Degree of Some Cartesian Product Graphs ()

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DOI: 10.4236/ojdm.2023.131002 110 Downloads 435 Views

Author(s)

Yinkui Li, Tingyi Zhu

Affiliation(s)

Department of Mathematics, Qinghai Nationalities College, Xining, China.

ABSTRACT

The rupture degree of a noncomplete-connected graph G is defined by

, where

is the number of components of

and

is the order of the largest component of

. In this paper, we determine the rupture degree of some Cartesian product graphs.

KEYWORDS

The Rupture Degree, Cartesian Product, The Vulnerability

Share and Cite:

Li, Y. and Zhu, T. (2023) Rupture Degree of Some Cartesian Product Graphs. Open Journal of Discrete Mathematics, 13, 16-26. doi: 10.4236/ojdm.2023.131002.

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