A graph G is Hamiltonian-connected if every two vertices of G are connected by a Hamiltonian path. An edge coloring of a Hamiltonian-connected graph G is a ...
A graph G is Hamilton-connected if every two vertices of G are connected by a Hamiltonian path (Bondy and Murty 1976, p. 61).
Missing: Proper | Show results with:Proper
In this paper, proper Hamiltonian-connection numbers are determined for some classes of Hamiltonian-connected graphs and that of Hamiltonian-laceable graphs.
A graph is Hamiltonian if it has a spanning cycle, and Hamiltonian-connected if for every pair of vertices, has a spanning -path.
People also ask
Is every 2-connected graph Hamiltonian?
What are the requirements for a Hamiltonian graph?
What is Hamiltonian-connected?
What is a necessary and sufficient condition for a connected graph G to have a Hamiltonian circuit?
Jan 17, 2019 · Define a "Hamilton-connected graph G" as For any vertices u,v∈G, a Hamilton path exists, where the two ends of the path are vertices u and v.
Feb 6, 2023 · A graph G is Hamiltonian-connected if there exists a Hamiltonian path between any two vertices of G. It is known that if G is 2-connected then ...
A graph G is Hamiltonian if it has a spanning cycle, and Hamiltonian-connected if for every pair of vertices u,v ∈. V(G), G has a spanning (u, v)-path. There ...
Missing: Proper | Show results with:Proper
A graph G is called uniquely hamiltonian-connected from a vertex v if, for every vertex u ≠ v, there is exactly one v-u hamiltonian path in G. The main ...
A Hamiltonian path or traceable path is a path that visits each vertex of the graph exactly once. A graph that contains a Hamiltonian path is called a ...
Missing: Proper | Show results with:Proper
A Hamiltonian graph is a graph with a Hamiltonian cycle. A graph is called Hamiltonian connected if there is a Hamiltonian path between every two vertices of it ...
Missing: Proper | Show results with:Proper