Mar 6, 2024 · Abstract:A Hamiltonian path (cycle) in a graph is a path (cycle, respectively) which passes through all of its vertices.
Jun 22, 2024 · A cycle is formed by a path connecting two adjacent vertices. The path (cycle) is Hamiltonian if it contains all vertices of the graph. The path ...
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A Hamiltonian path (cycle) in a graph is a path (cycle, respectively) which passes through all of its vertices. The problems of deciding the existence of a ...
[PDF] On the Structure of Hamiltonian Graphs with Small ...
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Hamiltonian path and Hamiltonian cycle are solvable in polynomial time in graphs of bounded independence number · Mathematics. arXiv.org · 2023.
As a companion structural result, in this paper, we determine explicit obstacles for the existence of a Hamiltonian path for small values of k, namely for ...
Abstract. We show that if the radius of a simple, connected graph equals its indepen- dence number, then the graph contains a Hamiltonian path.
The authors explore the complexity of Hamiltonian paths and cycles in graphs with small independence numbers, providing structural insights and polynomial-time ...
In 1972, Erdős proved that if G is a Hamiltonian graph on n > 4 k 4 vertices with independence number k , then G is pancyclic.
A graph is. Hamiltonian if it has a Hamiltonian cycle. Closure: The (Hamiltonian) closure of a graph G, denoted Cl(G), is the simple graph obtained from G by ...
Title:On the Structure of Hamiltonian Graphs with Small Independence Number ... Abstract:A Hamiltonian path (cycle) in a graph is a path (cycle, respectively) ...