Add to ORKGA grid graph is a finite node induced subgraph of the infinite two dimensional integer grid. A solid grid graph is a grid graph without holes. For general grid graphs, the Hamiltonian cycle problem is known to be NP complete. We give a polynomial time algorithm for the Hamiltonian cycle problem in solid grid graphs, resolving a longstanding open question posed by A. Itai et al. (1982). In fact, our algorithm can identify Hamiltonian cycles in quad quad graphs, a class of graphs that properly includes solid grid graphs
International audienceA graph is hamiltonian if it contains a cycle which goes through all vertices ...
AbstractA number of results in hamiltonian graph theory are of the form “P1 implies P2”, where P1 is...
A number of results in hamiltonian graph theory are of the form P1 implies P2, where P1 is a propert...
A grid graph is a finite node induced subgraph of the infinite two dimensional integer grid. A solid...
A graph G is called hamiltonian if it contains a Hamilton cycle, i.e. a cycle containing all vertice...
In this paper, we first introduce a novel class of graphs, namely supergrid. Supergrid graphs includ...
Abstract: It is known that all 2-connected, linearly convex triangular grid graphs, with only one ex...
The Hamiltonian path problem for general grid graphs is known to be NP-complete. In this paper, we g...
A complete grid G/sub m,n/ is a graph having m x n pertices that are connected to form a rectangular...
We look at a variant of the Hamilton circuit problem, where the input is restricted to hexagonal gri...
AbstractWe give a systematic study of Hamiltonicity of grids — the graphs induced by finite subsets ...
AbstractFinding a Hamiltonian path or a Hamiltonian cycle in a general graph are classic NP-complete...
AbstractA triangular grid graph is a finite induced subgraph of the infinite graph associated with t...
We prove that a triangular grid without local cuts is (almost) always Hamiltonian. This suggests an ...
DeLeon 1 A graph G is Hamiltonian if it has a spanning cycle. The problem of determining if a graph ...
International audienceA graph is hamiltonian if it contains a cycle which goes through all vertices ...
AbstractA number of results in hamiltonian graph theory are of the form “P1 implies P2”, where P1 is...
A number of results in hamiltonian graph theory are of the form P1 implies P2, where P1 is a propert...
A grid graph is a finite node induced subgraph of the infinite two dimensional integer grid. A solid...
A graph G is called hamiltonian if it contains a Hamilton cycle, i.e. a cycle containing all vertice...
In this paper, we first introduce a novel class of graphs, namely supergrid. Supergrid graphs includ...
Abstract: It is known that all 2-connected, linearly convex triangular grid graphs, with only one ex...
The Hamiltonian path problem for general grid graphs is known to be NP-complete. In this paper, we g...
A complete grid G/sub m,n/ is a graph having m x n pertices that are connected to form a rectangular...
We look at a variant of the Hamilton circuit problem, where the input is restricted to hexagonal gri...
AbstractWe give a systematic study of Hamiltonicity of grids — the graphs induced by finite subsets ...
AbstractFinding a Hamiltonian path or a Hamiltonian cycle in a general graph are classic NP-complete...
AbstractA triangular grid graph is a finite induced subgraph of the infinite graph associated with t...
We prove that a triangular grid without local cuts is (almost) always Hamiltonian. This suggests an ...
DeLeon 1 A graph G is Hamiltonian if it has a spanning cycle. The problem of determining if a graph ...
International audienceA graph is hamiltonian if it contains a cycle which goes through all vertices ...
AbstractA number of results in hamiltonian graph theory are of the form “P1 implies P2”, where P1 is...
A number of results in hamiltonian graph theory are of the form P1 implies P2, where P1 is a propert...