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math.CO2021
On the size of special class 1 graphs and -co-critical graphs
Gang Chen, Zhengke Miao, Zi-Xia Song +1
A well-known theorem of Vizing states that if is a simple graph with maximum degree , then the chromatic index of is or . A graph is class 1 if $χ'(…
math.CO2021
List star edge coloring of generalized Halin graphs
Zhengke Miao, Yimin Song, Tao Wang +1
A star -edge coloring is a proper edge coloring such that there are no bichromatic paths or cycles of length four. The smallest integer such that admits a star -edge…