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Automorphism Groups of Graphs
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adjacent algorithm Applications arcs automorphism group bound called Chapter characterization chromatic number circuit color Combinatorial Theory complete component condition conjecture connected consider construction contains corresponding covering defined definition denote determined digraph dimension directed discussed edges elements equal Erdős Eulerian graph Eulerian trail ex(n exactly example exists extension extremal graph fact finite following result function give given graph G Graph Theory Hamiltonian holds implies independent induced infinite graphs integer interesting interval joined labeled least length Let G linear London Math matrix maximum obtained pairs partition path perfect graph permutation planar plane poset positive possible probability problem proof proved question random graphs rank regular representation rooted satisfies shown simple Step studied subgraph subset Theorem transitive trees valency vertex vertices walk