Hamilton Cycles in Infinite Cubic Graphs
Copyright policy ) Max Pitz;
Hamilton Cycles in Infinite Cubic Graphs
Investigating a problem of B. Mohar, we show that every one-ended Hamiltonian cubic graph with end degree 3 contains a second Hamilton cycle. We also construct two examples showing that this result does not extend to give a third Hamilton cycle, nor that it extends to the two-ended case.
- Universität Hamburg Germany
Eulerian and Hamiltonian graphs, uniquely Hamiltonian, cubic graph, FOS: Mathematics, Mathematics - Combinatorics, 05C45, 05C07, Vertex degrees, infinite Hamilton cycle, Combinatorics (math.CO)
Eulerian and Hamiltonian graphs, uniquely Hamiltonian, cubic graph, FOS: Mathematics, Mathematics - Combinatorics, 05C45, 05C07, Vertex degrees, infinite Hamilton cycle, Combinatorics (math.CO)
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These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
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This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
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