## Topics in Graph Theory, Volume 328 |

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### Contents

The Explosive Growth of Graph Theory By FRANK HARARY | 5 |

Graphs and Permutation Groups Whose Transitive Constituents Have Prime Degree | 12 |

A Combinatorial Approach to Graphical Polynomials and Spanning Subgraphs | 21 |

Copyright | |

15 other sections not shown

### Common terms and phrases

active lines adjacency matrix automorphism group bipartite graphs Caccetta caterpillar Cayley graph chromatic number color Comb Combinatorial complete graph conjecture connected graph consider construction contains cyclic D-scheme defined degree denote diagonal diameter digraph Erdos eulerian example exists extremal graphs finite full embedding GE(n genus graceful numbering gracefully numbered graph G graph of FIGURE graph theory graphs with given Gv(n hamiltonian Harary homomorphism indifference graph induced subgraph integers interval graph isomorphic labelled LEMMA Let G Mathematics ME(n minimum number morphisms Mv(n n)-graphs nodes nonhamiltonian nonhamiltonian graph number of edges number of points obtained odd-degree points orbits pair paths of length permutation group planar planar graphs polynomial Proc proof proved Ramsey function Ramsey numbers Ramsey theory Ramsey's theorem result Robinson form RODL scheme shown in FIGURE spanning tree stability graph subeulerian subgraph of G symmetric groups THEOREM topological Tutte vertex vertices