A hypohamiltonian graph constructed by Lindgren (1967).
In the mathematical field of graph theory, a graph G is said to be hypohamiltonian if G itself does not have a Hamiltonian cycle but every graph formed by removing a single vertex from G is Hamiltonian.
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mathematical field of graph theory, a graph G is said to be hypohamiltonian if G itself does not have a Hamiltonian cycle but every graph formed by removing...
deleting a single vertex does have the property. For instance, a hypohamiltoniangraph is one that does not have a Hamiltonian cycle, but for which every...
mathematical field of graph theory, the Petersen graph is an undirected graph with 10 vertices and 15 edges. It is a small graph that serves as a useful...
planar graphs to have a Hamiltonian cycle Hamiltonian path problem, the computational problem of finding Hamiltonian paths Hypohamiltoniangraph, a non-Hamiltonian...
graph is, in graph theory, a hypohamiltoniangraph with 16 vertices and 27 edges. It has book thickness 3 and queue number 2. Hypohamiltoniangraphs were...
with no cycles of length shorter than 5. Chapter seven is on hypohamiltoniangraphs, the graphs that do not have a Hamiltonian cycle through all vertices...
snark J5 is hypohamiltonian. J3 is a trivial variation of the Petersen graph formed by replacing one of its vertices by a triangle. This graph is also known...
and queue number 2. The Coxeter graph is hypohamiltonian: it does not itself have a Hamiltonian cycle but every graph formed by removing a single vertex...
is even and k is odd. G(n, k) is a Cayley graph if and only if k2 ≡ 1 (mod n). G(n, k) is hypohamiltonian when n is congruent to 5 modulo 6 and k = 2...
Bondy's theorem Bondy–Chvátal theorem Even circuit theorem Hypohamiltoniangraph Pancyclic graph John Adrian Bondy at the Mathematics Genealogy Project Charbit...
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