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math.CO2022★ 6 cited
Proof of a conjecture on the determinant of walk matrix of rooted product with a path
Wei Wang, Zhidan Yan, Lihuan Mao
The walk matrix of an -vertex graph with adjacency matrix , denoted by , is , where is the all-ones vector. Let be the root…
math.CO2022
The list-coloring function of signed graphs
Sumin Huang, Jianguo Qian, Wei Wang
It is known that, for any -list assignment of a graph , the number of -list colorings of is at least the number of the proper -colorings of when $k>(m-1)/\l…