Killing a Vortex
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A generalization of Little's Theorem on Pfaffian orientations
Little (1975) [12] showed that, in a certain sense, the only minimal non-Pfaffian bipartite matching covered graph is the brace K"3","3. Using a stronger notion of minimality than the one used by Little, we show that every minimal non-Pfaffian brick G ...
Note: Many disjoint dense subgraphs versus large k-connected subgraphs in large graphs with given edge density
It is proved that for all positive integers d,k,s,t with t>=k+1 there is a positive integer M=M(d,k,s,t) such that every graph with edge density at least d+k and at least M vertices contains a k-connected subgraph on at least t vertices, or s pairwise ...
Det-extremal cubic bipartite graphs
Let G be a connected k–regular bipartite graph with bipartition V(G) = X ∪ Y and adjacency matrix A. We say G is det-extremal if per (A) = |det(A)|. Det–extremal k–regular bipartite graphs exist only for k = 2 or 3. McCuaig has characterized the det-...
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![cover image Journal of the ACM](/cms/asset/a2112c16-d703-43c7-891e-d159a575b59e/default_cover.jpg)
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Association for Computing Machinery
New York, NY, United States
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