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math.CO2021★ 5 cited
On a conjecture of Nikiforov involving a spectral radius condition for a graph to contain all trees
Xiangxiang Liu, Hajo Broersma, Ligong Wang
We partly confirm a Brualdi-Solheid-Turán type conjecture due to Nikiforov, which is a spectral radius analogue of the well-known Erdős-Sós Conjecture that any tree of order is…
math.CO2021
Growth rates of the bipartite Erdős-Gyárfás function
Xihe Li, Hajo Broersma, Ligong Wang
Given two graphs and a positive integer , an -coloring of is an edge-coloring of such that every copy of in receives at least distinct colors.…
math.CO2021★ 4 cited
Spectral radius conditions for the existence of all subtrees of diameter at most four
Xiangxiang Liu, Hajo Broersma, Ligong Wang
Let denote the spectral radius of a graph . We partly confirm a conjecture due to Nikiforov, which is a spectral radius analogue of the well-known Erdős-Sós Conjecture th…