## Algebraic theory of graphs |

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### Contents

BASIC RESULTS OF GROUP GRAPHS | 1 |

Basse diagrams | 14 |

Internal and external stabilities | 31 |

Copyright | |

8 other sections not shown

### Common terms and phrases

A U A a,b e a,b e G abelian group bilateral symmetry called chromatic number colours complete graph complete subgraph connected iff Corollary cosets of H cyclic group Define a mapping denote elements of G Euclidean space graph finite connected G,RA graph automorphism graph iff graph of dimension Graph theory graphs induced group automorphism group graph group of order Hasse diagram iff there exists implies internally stable set isograph isomorphic Lemma Let G Let H non-empty obtain a collection Obviously one-to-one mapping parallelogram-free subset partially ordered set path Petersen graph point-symmetric graph point-symmetric hypergraph point-symmetric quasigroup graph Proof real Euclidean space right associative subset section graph stability starred polygon subgroup of G subset of G super quasigroup Suppose symmetric graph Theorem vertex weak auto-extension x e G