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Abstract: Let \Gamma be the generalized random bipartite graph that has two sides Rl and Rr with edges for every pair of vertices between R1 and Rr but no edges within each side, where all the edges a...
On 2-Factors with Prescribed Properties in a Bipartite Graph
Bipartite graph Vertex-disjoint Quadrilateral 2-Factor
2007/12/12
Liu and Yan gave the degree condition for a balanced bipartite graph $G=(V_1,V_2;E)$ to have $k$ vertex-disjoint quadrilaterals containing any given $k$ independent edges $e_1,\ldots, e_k$ of $G$, res...