Hamiltonian prisms on 5-chordal graphs

TL;DR

This paper presents a method for finding Hamiltonian cycles in the prisms of 5-chordal graphs that are nearly tough, under specific conditions, advancing understanding of Hamiltonian properties in complex graph classes.

Contribution

It introduces a new approach to identify Hamiltonian cycles in the prisms of 5-chordal graphs with near toughness, under certain conditions.

Findings

Method successfully finds Hamiltonian cycles in specified graph classes

Extends known results to nearly tough 5-chordal graphs

Provides conditions under which Hamiltonian prisms exist

Abstract

In this paper, we provide a method to find a Hamiltonian cycle in the prism of a 5-chordal graph, which is $(1+\epsilon)$-tough, with some special conditions.