Comprehensive Study of Eulerian and Hamiltonian Graphs

Abstract

This paper presents an extensive study of Eulerian and Hamiltonian graphs, exploring their definitions, properties, and characterizations. We research into various algorithms designed to identify Eulerian and Hamiltonian paths and cycles within graphs, providing detailed analyses and comparisons of their performance. This study aims to provide a holistic understanding of Eulerian and Hamiltonian graphs and their significance in both theoretical and applied contexts.