Algebraic Theory of Graphs |
Common terms and phrases
a₁ A₂ abelian group algebraic auto-extension automorphism of G b₁ b₂ chromatic number colours complete graph complete subgraph connected iff Corollary cosets of H cyclic group Define a mapping denote diameter of G disjoint edge elements of G Euclidean space graph follows G,RA G₁ G₂ graph automorphism graph G graph iff graph of dimension group automorphism group graph H₁ h₂ Hasse diagram Hence G hypergraph iff there exists implies internally stable set isograph isomorphic Lemma Let G Let H loopless finite graph obtain a collection one-to-one mapping parallelogram-free subset partially ordered set Petersen graph point-symmetric graph point-symmetric quasigroup graph Proof R₁ real Euclidean space right associative subset section graph stability starred polygon subgroup of G subloop of G subset of G super quasigroup Suppose symmetric symmetric graph Theorem V₁ vertex vertices xe G бед Є НАН УЗ УО