Add to ORKGAbstract: In this paper we study connectivity and hamiltonicity properties of the topological grid graphs, which are a natural type of planar graphs associated with finite subgraphs of the usual square lattice graph of the plane. The main results are as follows. The shortness coefficient of the family of all topological grid graphs is at most 16/17. Every 3-connected topological grid graph is hamiltonian
summary:During the last decade, several research groups have published results on sufficient conditi...
DeLeon 1 A graph G is Hamiltonian if it has a spanning cycle. The problem of determining if a graph ...
AbstractMotivated by the theorem of Tutte which states that each 4-connected planar graph has a Hami...
In this paper we study connectivity and hamiltonicity properties of the topological grid graphs, whi...
A graph G is called hamiltonian if it contains a Hamilton cycle, i.e. a cycle containing all vertice...
AbstractA triangular grid graph is a finite induced subgraph of the infinite graph associated with t...
Available online at www.sciencedirect.comA triangular grid graph is a finite induced subgraph of the...
AbstractThis paper is concerned with non-Hamiltonian planar graphs. It is shown that the class of 3-...
AbstractThomassen conjectured that every 4-connected line graph is Hamiltonian. Lai et al. conjectur...
A graph G (V, E) is said to be Hamiltonian if it contains a spanning cycle. The spanning cycle is ca...
A graph is hamiltonian-connected if every pair of vertices can be connected by a hamiltonian path, a...
A complete grid G/sub m,n/ is a graph having m x n pertices that are connected to form a rectangular...
We prove that a triangular grid without local cuts is (almost) always Hamiltonian. This suggests an ...
A grid graph is a finite node induced subgraph of the infinite two dimensional integer grid. A solid...
Tutte proved that every planar 4-connected graph is hamiltonian. Thomassen showed that the same conc...
summary:During the last decade, several research groups have published results on sufficient conditi...
DeLeon 1 A graph G is Hamiltonian if it has a spanning cycle. The problem of determining if a graph ...
AbstractMotivated by the theorem of Tutte which states that each 4-connected planar graph has a Hami...
In this paper we study connectivity and hamiltonicity properties of the topological grid graphs, whi...
A graph G is called hamiltonian if it contains a Hamilton cycle, i.e. a cycle containing all vertice...
AbstractA triangular grid graph is a finite induced subgraph of the infinite graph associated with t...
Available online at www.sciencedirect.comA triangular grid graph is a finite induced subgraph of the...
AbstractThis paper is concerned with non-Hamiltonian planar graphs. It is shown that the class of 3-...
AbstractThomassen conjectured that every 4-connected line graph is Hamiltonian. Lai et al. conjectur...
A graph G (V, E) is said to be Hamiltonian if it contains a spanning cycle. The spanning cycle is ca...
A graph is hamiltonian-connected if every pair of vertices can be connected by a hamiltonian path, a...
A complete grid G/sub m,n/ is a graph having m x n pertices that are connected to form a rectangular...
We prove that a triangular grid without local cuts is (almost) always Hamiltonian. This suggests an ...
A grid graph is a finite node induced subgraph of the infinite two dimensional integer grid. A solid...
Tutte proved that every planar 4-connected graph is hamiltonian. Thomassen showed that the same conc...
summary:During the last decade, several research groups have published results on sufficient conditi...
DeLeon 1 A graph G is Hamiltonian if it has a spanning cycle. The problem of determining if a graph ...
AbstractMotivated by the theorem of Tutte which states that each 4-connected planar graph has a Hami...