Automorphisms of infinite-dimensional hypercube graph
Mark Pankov
TL;DR
This paper studies the automorphisms of the infinite-dimensional hypercube graph, focusing on its disconnected structure and the automorphism groups of its connected components.
Contribution
It characterizes the restrictions of automorphisms to connected components and describes their automorphism groups.
Findings
Automorphisms restricted to connected components are characterized.
The automorphism group of a connected component is described.
The infinite-dimensional hypercube graph's structure influences its automorphisms.
Abstract
We consider the infinite-dimensional hypercube graph. This graph is not connected and has isomorphic connected components. We describe the restrictions of its automorphisms to the connected components and the automorphism group of connected component.
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Taxonomy
TopicsGraph theory and applications · Interconnection Networks and Systems