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When do a Regular graph has an odd eigenvalue?

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#matrices #graph-theory #eigenvalues-eigenvectors #algebraic-graph-theory #spectral-graph-theory
54
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The generating set of Cayley graphs over $Z_n$

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#combinatorics #finite-groups #algebraic-graph-theory
7.2k
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Matrix irreducibility. Strongly connected graph

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#matrices #graph-theory #algebraic-graph-theory
1.4k
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Complement of a connected graph

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#graph-theory #algebraic-graph-theory
153
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'Refinements' of graphs

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#abstract-algebra #reference-request #graph-theory #algebraic-graph-theory
1k
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Simple Undirected Graphs: Adjacency matrix and the $(0-1)$ incidence matrix

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#graph-theory #algebraic-graph-theory
2k
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cycle space in graph theory

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#linear-algebra #combinatorics #graph-theory #algebraic-graph-theory
413
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proof that a cycle space is a subspace

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#linear-algebra #combinatorics #graph-theory #algebraic-graph-theory #topological-graph-theory
265
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Which graph with an automorphism group isomorphic to the quaternion group $Q_8$ minimizes $|V|+3|E|$?

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#combinatorics #graph-theory #algebraic-graph-theory #latin-square
431
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Eigenvalue of Block matrix: Adjacency of complete bipartite Graph

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#linear-algebra #eigenvalues-eigenvectors #algebraic-graph-theory #spectral-graph-theory
1.8k
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Computing eigenvalue of the adjacency matrix of a path

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#linear-algebra #eigenvalues-eigenvectors #algebraic-graph-theory #spectral-graph-theory #adjacency-matrix
326
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Number of Automorphisms of a Irregular Graph.

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#group-theory #reference-request #graph-theory #algebraic-graph-theory #graph-isomorphism
196
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Finding Automorphisms of Irregular graph through Regular Sub-Graphs.

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#group-theory #graph-theory #solution-verification #algebraic-graph-theory #graph-isomorphism
444
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Construction of a Strongly Regular Graph which has regular Neighbourhood graphs in all iteration.

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#reference-request #graph-theory #spectral-theory #algebraic-graph-theory #spectral-graph-theory
196
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Diameter of Schreier coset graphs.

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#reference-request #graph-theory #book-recommendation #algebraic-graph-theory

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