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Results tagged with hamiltonian-graphs
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user 46140
A Hamiltonian graph (directed or undirected) is a graph that contains a Hamiltonian cycle, that is, a cycle that visits every vertex exactly once.
3
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Path of length $n$ but no Hamilton cycle
Assuming you mean a graph with a Hamiltonian path but no Hamiltonian cycle,
The Petersen graph is a standard example.
Any pendant-free graph with a Hamiltonian path and a bridge is an easy example; e …
- 7,226
3
votes
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How to construct a hamilton-connected cubic graph? Is it possible?
Take a cycle of $2m$ elements, label the vertices around the cycle from $0$ to $2m-1$, and add diagonals $1 \to (2m-1)$, $2 \to (2m-2)$, $\cdots$, $(m-1) \to (m+1)$, and special case $0 \to m$.
By sym …
- 7,226