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math.CO2018★ 1 cited
Binding Number, Toughness and General Matching Extendability in Graphs
Hongliang Lu, Qinglin Yu
A connected graph with at least vertices which contains a perfect matching is -{\it extendable}, if for any two sets of disjoint independent edges an…
math.CO2018
The Tutte's condition in terms of graph factors
Hongliang Lu, David G. L. Wang
Let be a connected general graph of even order, with a function . We obtain that satisfies the Tutte's condition \[ o(G-S)\le \sum_{v\in S}f(v)\qquad\t…