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math.CO2024
Improved bound on the number of edges of diameter--critical graphs
Xiaolin Wang, Yanbo Zhang, Xiutao Zhu
A graph is diameter--critical if its diameter equals and the deletion of any edge increases its diameter. The Murty-Simon Conjecture states that for any diameter-2-critical…
math.CO2024
Generalized Turán problem for a path and a clique
Xiaona Fang, Xiutao Zhu, Yaojun Chen
Let be a family of graphs. The generalized Turán number is the maximum number of copies of the clique in any -vertex -…