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Star edge coloring of graphs with Mad($G$)$
2021
Journal:  
Turkish Journal of Mathematics
Author:  
DOI:  
10.3906/mat-1911-80
Abstract:

A star edge coloring of a graph $G$ is a proper edge coloring such that there is no bicolored path or cycle of length four. The minimum number of colors needed for a graph $G$ to admit a star edge coloring is called the star chromatic index and it is denoted by $\chi_s^{'}(G)$. In this paper, we consider graphs of maximum degree $\Delta \geq 4$ and show that if the maximum average degree of a graph is less than $\frac{14}{5}$ then $\chi_s^{'}(G) \leq 2\Delta + 1$.

Keywords:

null
2021
Journal:  
Turkish Journal of Mathematics
Author:  
DOI:  
10.3906/mat-1911-80
0
2021
Journal:  
Turkish Journal of Mathematics
Author:  
DOI:  
10.3906/mat-1911-80
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Turkish Journal of Mathematics

Field :   Fen Bilimleri ve Matematik

Journal Type :   Uluslararası

Metrics
Article : 2.274
Cite : 712
2023 Impact : 0.039
Details
Turkish Journal of Mathematics