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math.CO2021
Some exact results of the generalized Turán numbers for paths
Doudou Hei, Xinmin Hou, Boyuan Liu
For graphs and with chromatic number , we call strictly -Turán-good (or strictly Turán-good) if the Turán graph is the unique -free…
math.CO2021
Rainbow independent sets in graphs with maximum degree two
Yue Ma, Xinmin Hou, Jun Gao +2
Given a graph , let be the minimal number such that every independent -sets in have a rainbow -set. Let be the family of all grap…
math.CO2021
Strongly connected orientation with minimum lexicographic order of indegrees
Hongyu Zhou, Xinmin Hou
Given a simple undirected graph , an orientation of is to assign every edge of a direction. Borradaile et al gave a greedy algorithm SC-Path-Reversal (in polynomial time…