Add to ORKGA graph is hamiltonian-connected if every pair of vertices can be connected by a hamiltonian path, and it is hamiltonian if it contains a hamiltonian cycle. Every hamiltonian-connected graph is hamiltonian. However we construct families of non-hamiltonian graphs with `many\u27 hamiltonian paths, where `many\u27 is interpreted with respect to the number of pairs of vertices connected by hamiltonian paths. We then consider minimal graphs that are hamiltonian-connected. It is known that any order-n graph that is hamiltonian-connected graphs must have\u3e=3n/2 edges. We construct an infinite family of graphs realizing this minimum
AbstractThomassen conjectured that every 4-connected line graph is Hamiltonian. Lai et al. (in 2006)...
Let U be the set of cubic planar hamiltonian graphs, A the set of graphs G in U such that G − v is h...
In 1857, the Irish mathematician Sir William Hamilton(1805-1865) invented a game of travelling aroun...
A graph is \emph{hamiltonian-connected} if every pair of vertices can be connected by a hamiltonian ...
AbstractA graph G of order p ⩾ 3 is called n-hamiltonian, 0 ⩽ n ⩽ p − 3, if the removal of any m ver...
A Hamiltonian path is a spanning path in a graph i.e. a path through every vertex. In this paper we ...
AbstractA graph G with p≥3 points, 0≤n≤p−3, is called n-Hamiltonian if the removal of any k points f...
AbstractIn 2005, Rahman and Kaykobad introduced the Rahman-Kaykobad condition for the research of Ha...
A spanning path in a graph G is called a Hamiltonian path. To determine which graphs possess such pa...
AbstractA graph G is called uniquely hamiltonian-connected from a vertex ν of G if G contains exactl...
In 1980, Jackson proved that every 2-connected k-regular graph with at most 3k vertices is Hamiltoni...
The research of my dissertation was motivated by the conjecture of Thomassen that every 4-connected ...
The research of my dissertation was motivated by the conjecture of Thomassen that every 4-connected ...
A graph G is called hamiltonian-<:onnectedfrom a vertex v ifa hamiltonian path exists from v to e...
The research of my dissertation was motivated by the conjecture of Thomassen that every 4-connected ...
AbstractThomassen conjectured that every 4-connected line graph is Hamiltonian. Lai et al. (in 2006)...
Let U be the set of cubic planar hamiltonian graphs, A the set of graphs G in U such that G − v is h...
In 1857, the Irish mathematician Sir William Hamilton(1805-1865) invented a game of travelling aroun...
A graph is \emph{hamiltonian-connected} if every pair of vertices can be connected by a hamiltonian ...
AbstractA graph G of order p ⩾ 3 is called n-hamiltonian, 0 ⩽ n ⩽ p − 3, if the removal of any m ver...
A Hamiltonian path is a spanning path in a graph i.e. a path through every vertex. In this paper we ...
AbstractA graph G with p≥3 points, 0≤n≤p−3, is called n-Hamiltonian if the removal of any k points f...
AbstractIn 2005, Rahman and Kaykobad introduced the Rahman-Kaykobad condition for the research of Ha...
A spanning path in a graph G is called a Hamiltonian path. To determine which graphs possess such pa...
AbstractA graph G is called uniquely hamiltonian-connected from a vertex ν of G if G contains exactl...
In 1980, Jackson proved that every 2-connected k-regular graph with at most 3k vertices is Hamiltoni...
The research of my dissertation was motivated by the conjecture of Thomassen that every 4-connected ...
The research of my dissertation was motivated by the conjecture of Thomassen that every 4-connected ...
A graph G is called hamiltonian-<:onnectedfrom a vertex v ifa hamiltonian path exists from v to e...
The research of my dissertation was motivated by the conjecture of Thomassen that every 4-connected ...
AbstractThomassen conjectured that every 4-connected line graph is Hamiltonian. Lai et al. (in 2006)...
Let U be the set of cubic planar hamiltonian graphs, A the set of graphs G in U such that G − v is h...
In 1857, the Irish mathematician Sir William Hamilton(1805-1865) invented a game of travelling aroun...