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Research Paper | Mathematics | Volume 15 Issue 3, March 2026 | Pages: 46 - 49 | India
The Total Circular Number of Graphs
Abstract: Let G=(V,E) be a connected graph with at least two vertices. A set S⊆,V(G) is called a total circular set of G if S is a circular set of G and the subgraph G[S] induced by S has no isolated vertex. The total circular number tcr(G) of G is the minimum order of its total circular sets and any total circular set of order tcr(G) is called a tcr-set of G. In this article, the total circular number of some standard graphs are determined.
Keywords: distance, detour number, geodetic number, circular number
How to Cite?: Dr. S. Sheeja, "The Total Circular Number of Graphs", Volume 15 Issue 3, March 2026, International Journal of Science and Research (IJSR), Pages: 46-49, https://www.ijsr.net/getabstract.php?paperid=SR26224141910, DOI: https://dx.doi.org/10.21275/SR26224141910