supported by the National Natural Science Foundation of China(Nos.12371351 and 12431013);supported by the National Natural Science Foundation of China(Nos.12031018 and 12431013);the Young Elite Scientist Sponsorship Program by CAST;the Fundamental Research Funds for the Central Universities,Nankai University。
For any positive integer k,the reconfiguration graph for all k-colorings of a graph G,denoted by R_(k)(G),is the graph where vertices represent the k-colorings of G,and two k-colorings are joined by an edge if they di...