On star coloring of degree splitting of join graphs
Abstract A star coloring of a graph G is a proper vertex coloring in which every path on four vertices in G is not bicolored. The star chromatic number χ s (G) of G is the least number of colors needed to star color G. In this paper, we have generalized the star chromatic number of degree splitting of join of any two graph G and H denoted by G + H, where G is a path graph and H is any simple graph. Also, we determine the star chromatic number for degree splitting of join of path graph G of order m with path P n , complete graph K n and cyclevgraph C n .
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| Main Authors: | , |
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| Format: | Digital revista |
| Language: | English |
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Universidad Católica del Norte, Departamento de Matemáticas
2019
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| Online Access: | http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172019000501071 |
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| Summary: | Abstract A star coloring of a graph G is a proper vertex coloring in which every path on four vertices in G is not bicolored. The star chromatic number χ s (G) of G is the least number of colors needed to star color G. In this paper, we have generalized the star chromatic number of degree splitting of join of any two graph G and H denoted by G + H, where G is a path graph and H is any simple graph. Also, we determine the star chromatic number for degree splitting of join of path graph G of order m with path P n , complete graph K n and cyclevgraph C n . |
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