The total geo chromatic number of a graph
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https://doi.org/10.26637/MJM0804/0178Abstract
A total geo chromatic set of a graph \(G\) is a geo chromatic set \(S_c\) such that the subgraph induced by \(S_c\) has no isolated vertices. The minimum cardinality of a total geo chromatic set of \(G\) is the total geo chromatic number of \(G\) and is denoted by \(\chi_{t g}(G)\). A total geo chromatic set of cardinality \(\chi_{t g}(G)\) is called a \(\chi_{t g}\)-set of \(G\). The total geo chromatic number of some standard graphs are determined and some general properties satisfied by this concept are studied.
Keywords:
Geodetic number, chromatic number, geo chromatic number, total geo chromatic number, connected geo chromatic numberMathematics Subject Classification:
Mathematics- Pages: 2337-2341
- Date Published: 01-10-2020
- Vol. 8 No. 04 (2020): Malaya Journal of Matematik (MJM)
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