Some articles on hypohamiltonian graph, graphs, hypohamiltonian graphs, graph, hypohamiltonian:
Hypohamiltonian Graph - Enumeration
... Václav Chvátal proved in 1973 that for all sufficiently large n there exists a hypohamiltonian graph with n vertices ... into account subsequent discoveries, “sufficiently large” is now known to mean that such graphs exist for all n ≥ 18 ... A complete list of hypohamiltonian graphs with at most 17 vertices is known they are the 10-vertex Petersen graph, a 13-vertex graph and a 15-vertex graph found by computer ...
... Václav Chvátal proved in 1973 that for all sufficiently large n there exists a hypohamiltonian graph with n vertices ... into account subsequent discoveries, “sufficiently large” is now known to mean that such graphs exist for all n ≥ 18 ... A complete list of hypohamiltonian graphs with at most 17 vertices is known they are the 10-vertex Petersen graph, a 13-vertex graph and a 15-vertex graph found by computer ...
Hypohamiltonian Graph - Applications
... Hypohamiltonian graphs arise in integer programming solutions to the traveling salesman problem certain kinds of hypohamiltonian graphs define facets of the traveling salesman polytope, a shape defined as the ... the computational complexity of determining whether a graph is hypohamiltonian, although unknown, is likely to be high, making it difficult to find facets of these types except for those defined by small ...
... Hypohamiltonian graphs arise in integer programming solutions to the traveling salesman problem certain kinds of hypohamiltonian graphs define facets of the traveling salesman polytope, a shape defined as the ... the computational complexity of determining whether a graph is hypohamiltonian, although unknown, is likely to be high, making it difficult to find facets of these types except for those defined by small ...
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