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Bridgeless cubic graph has a 1-factor not containing two arbitrarily prescribed lines

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#combinatorics #graph-theory #connectedness #graph-connectivity
202
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If Degree of a Vertex Greater Than/Equal to Size of Vertex Set / 2 then Connected

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#graph-theory #graph-connectivity
870
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Number of edges in a minimal $k$-edge connected subgraph

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#graph-theory #reference-request #upper-lower-bounds #graph-connectivity
92
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Polyamory Network problem

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#graph-theory #network #graph-connectivity
919
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Maximum number of edges in minimally $k$-edge-connected multigraph

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#graph-theory #upper-lower-bounds #graph-connectivity #extremal-graph-theory
50
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Graphs "weak" in context of cutting subgraphs

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#graph-theory #reference-request #trees #graph-connectivity
10.1k
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Find a graph such that $\kappa(G) < \lambda(G) < \delta(G)$

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#graph-theory #connectedness #graph-connectivity
122
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Question regarding circulant graphs

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#abstract-algebra #graph-theory #computer-science #connectedness #graph-connectivity
130
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Maximum matching in bipartite graph

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#graph-theory #bipartite-graphs #graph-connectivity
66
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k-edge-connectivity

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#graph-theory #graph-connectivity
91
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Expansion of 3-connected graphs gives 3-connected graphs

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#graph-theory #connectedness #graph-connectivity
139
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Regular ternary ordered tree

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#discrete-mathematics #graph-theory #trees #graph-connectivity
188
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Does a k-connected graph contain a k-connected bipartite subgraph?

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#graph-theory #bipartite-graphs #graph-connectivity
61
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Hamilton decompositions of cycle plus triangles graphs

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#graph-theory #connectedness #graph-connectivity #hamiltonicity
1k
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Proving the generalization of Euler's formula for a graph $G$ with $k$ connected components: $V(G)-E(G)+F(G) = k+1$

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#graph-theory #graph-connectivity

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