Random Cayley maps for groups generated by involutions

DOI10.1006/jctb.1999.1909zbMath0935.05037OpenAlexW2089432291MaRDI QIDQ1306313

Michelle Schultz

Publication date: 20 December 1999

Published in: Journal of Combinatorial Theory. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jctb.1999.1909

zbMATH Keywords

Cayley graphCayley mapgenusgraph imbedding

Mathematics Subject Classification ID

Probability measures on topological spaces (60B05) Planar graphs; geometric and topological aspects of graph theory (05C10) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Relations of low-dimensional topology with graph theory (57M15)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Regular maps from Cayley graphs. I: Balanced Cayley maps
• Region distributions of graph embeddings and Stirling numbers
• Genus distributions for two classes of graphs
• Genus distributions for bouquets of circles
• On a construction of infinite families of regular Cayley maps
• Regular maps from Cayley graphs. II: Antibalanced Cayley maps
• Automorphism groups of Cayley maps
• Das Geschlecht des vollständigen paaren Graphen
• Hierarchy for imbedding-distribution invariants of a graph
• Enumerating 2-Cell Imbeddings of Connected Graphs
• An Introduction to Random Topological Graph Theory
• The Genus, Regional Number, and Betti Number of a Graph
• Determining all compact orientable 2-manifolds upon which \(K_{m,n}\) has 2-cell imbeddings

This page was built for publication: Random Cayley maps for groups generated by involutions