A graph G is hypohamiltonian if G is non-hamiltonian and for every vertex v in G, the graph G-v is hamiltonian. McKay asked in [J. Graph Theory 85 (2017) 7-11] whether infinitely many planar cubic hypohamiltonian graphs of girth5 exist. We settle this question affirmatively.A graph G is hypohamiltonian if G is non-hamiltonian and for every vertex v in G, the graph G-v is hamiltonian. McKay asked in [J. Graph Theory 85 (2017) 7-11] whether infinitely many planar cubic hypohamiltonian graphs of girth5 exist. We settle this question affirmatively.A
AbstractA graph G is called hypohamiltonian if G is not hamiltonian but every vertex deleted subgrap...
A graph G is hypohamiltonian if it is not Hamiltonian but for each v∈V(G)v∈V(G), the graph G−vG−v is...
Let U be the set of cubic planar hamiltonian graphs, A the set of graphs G in U such that G − v is h...
A graph G is hypohamiltonian if G is non-hamiltonian and for every vertex v in G, the graph G-v is h...
Thomassen showed in 1978 that every planar hypohamiltonian graph contains a cubic vertex. Equivalent...
A graph is called hypohamiltonian if it is not hamiltonian but becomes hamiltonian if any vertex is ...
A graph is hypohamiltonian if it is not Hamiltonian, but the deletion of any single vertex gives a H...
A graph G is almost hypohamiltonian if G is non-hamiltonian, there exists a vertex w such that G-w i...
Hamiltonian graphs are a very interesting research subject in the field of graph theory, which is th...
A graph G is hypohamiltonian if G is non-hamiltonian and G - nu is hamiltonian for every nu is an el...
A graph G is almost hypohamiltonian (a.h.) if G is non-hamiltonian, there exists a vertex w in G suc...
AbstractChvátal raised the question whether or not planar hypohamiltonian graphs exist and Grünbaum ...
In 1978 Thomassen asked whether planar hypohamiltonian oriented graphs exist. Infinite families of s...
AbstractHerz, Duby and Vigué [9] conjectured that every hypohamiltonian graph has girth ⩾ 5. In the ...
AbstractInfinite families of planar cubic hypohamiltonian and hypotraceable graphs are described and...
AbstractA graph G is called hypohamiltonian if G is not hamiltonian but every vertex deleted subgrap...
A graph G is hypohamiltonian if it is not Hamiltonian but for each v∈V(G)v∈V(G), the graph G−vG−v is...
Let U be the set of cubic planar hamiltonian graphs, A the set of graphs G in U such that G − v is h...
A graph G is hypohamiltonian if G is non-hamiltonian and for every vertex v in G, the graph G-v is h...
Thomassen showed in 1978 that every planar hypohamiltonian graph contains a cubic vertex. Equivalent...
A graph is called hypohamiltonian if it is not hamiltonian but becomes hamiltonian if any vertex is ...
A graph is hypohamiltonian if it is not Hamiltonian, but the deletion of any single vertex gives a H...
A graph G is almost hypohamiltonian if G is non-hamiltonian, there exists a vertex w such that G-w i...
Hamiltonian graphs are a very interesting research subject in the field of graph theory, which is th...
A graph G is hypohamiltonian if G is non-hamiltonian and G - nu is hamiltonian for every nu is an el...
A graph G is almost hypohamiltonian (a.h.) if G is non-hamiltonian, there exists a vertex w in G suc...
AbstractChvátal raised the question whether or not planar hypohamiltonian graphs exist and Grünbaum ...
In 1978 Thomassen asked whether planar hypohamiltonian oriented graphs exist. Infinite families of s...
AbstractHerz, Duby and Vigué [9] conjectured that every hypohamiltonian graph has girth ⩾ 5. In the ...
AbstractInfinite families of planar cubic hypohamiltonian and hypotraceable graphs are described and...
AbstractA graph G is called hypohamiltonian if G is not hamiltonian but every vertex deleted subgrap...
A graph G is hypohamiltonian if it is not Hamiltonian but for each v∈V(G)v∈V(G), the graph G−vG−v is...
Let U be the set of cubic planar hamiltonian graphs, A the set of graphs G in U such that G − v is h...