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Face Boundary and bipartite question classification

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#graph-theory #bipartite-graphs
175
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If $G$ is connected then $\lambda_2 < \lambda_1$.

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#graph-theory #spectral-graph-theory
869
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Let $H$ be a simple graph on $n$ vertices that has $m$ edges. Prove that $H$ contains at least $m-n+1$ cycles.

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#graph-theory #proof-verification
13k
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Find an odd-length cycle in an undirected graph.

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#graph-theory #algorithms
4.9k
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3-regular connected planar graph

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#graph-theory #planar-graphs
5.1k
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Planar graphs where every face boundary is a cycle of even length are bipartite

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#graph-theory #proof-verification
469
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Proof of an $\iff$ statement on binary trees

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#graph-theory #trees
757
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Is this graph connected

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#number-theory #graph-theory #infinite-graphs
411
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Friends meeting at point

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#graph-theory #algorithms
183
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Removing cycle from the complete graph.

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#graph-theory
376
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Eccentricity of vertices in a graph when eccentricity of one vertex is given

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#combinatorics #discrete-mathematics #graph-theory
3.1k
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Finding all mapping between two isomorphic graphs

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#graph-theory #graph-isomorphism
2.4k
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Find a kernel in a directed graph.

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#graph-theory #algorithms
247
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Graph containing every trees of size $n$ as subgraphs

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#graph-theory #extremal-combinatorics #extremal-graph-theory
550
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Proof d-regular graph has an equal number of vertices in its bipartition

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#graph-theory #bipartite-graphs

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