Ask a Question

Prefer a chat interface with context about you and your work?

On Hamilton decompositions of infinite circulant graphs

On Hamilton decompositions of infinite circulant graphs

Abstract The natural infinite analog of a (finite) Hamilton cycle is a two‐way‐infinite Hamilton path (connected spanning 2‐valent subgraph). Although it is known that every connected 2 k ‐valent infinite circulant graph has a two‐way‐infinite Hamilton path, there exist many such graphs that do not have a decomposition into k …