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Topological characterization of families of graphs generated by certain types of graph grammars

โœ Scribed by Mihalis Yannakakis; Theodosios Pavlidis

Book ID
114037405
Publisher
Elsevier Science
Year
1979
Weight
676 KB
Volume
42
Category
Article
ISSN
0019-9958

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A Characterization of Certain Families of 4-Valent Symmetric Graphs
โœ A. Gardiner; Cheryl E. Praeger ๐Ÿ“‚ Article ๐Ÿ“… 1994 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 532 KB

Let \(\Gamma\) be a connected, 4-valent, \(G\)-symmetric graph. Each normal subgroup \(N\) of \(G\) gives rise to a natural symmetric quotient \(\Gamma_{N}\), the vertices of which are the \(N\)-orbits on \(V \Gamma\). If this quotient \(\Gamma_{N}\) is not itself 4-valent, then it was shown in [1]