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math.CO2022
Some exact values on Ramsey numbers related to fans
Qinghong Zhao, Bing Wei
For two given graphs and , the Ramsey number is the smallest integer such that any red-blue edge-coloring of the complete graph contains a red or a bl…
math.CO2022
a characterization of the centers of chordal graphs
James M Shook, Bing Wei
A graph is -chordal if it does not have an induced cycle with length greater than . We call a graph chordal if it is -chordal. Let be a graph. The distance between the…
math.CO2022
Bonds intersecting long paths in -connected graphs
Bing Wei, Haidong Wu, Qinghong Zhao
A well-known question of Gallai (1966) asked whether there is a vertex which passes through all longest paths of a connected graph. Although this has been verified for some special…