# Hamiltonian cubic bipartite graphs

**Authors:** Misa Nakanishi

arXiv: 1812.06404 · 2024-06-04

## TL;DR

This paper presents a polynomial time algorithm to determine whether a cubic bipartite graph contains a Hamilton cycle, addressing a fundamental problem in graph theory.

## Contribution

The paper introduces the first polynomial time algorithm for detecting Hamilton cycles specifically in cubic bipartite graphs.

## Key findings

- Algorithm successfully identifies Hamilton cycles in cubic bipartite graphs
- Complexity of the problem is reduced to polynomial time for this class
- Provides a new tool for analyzing Hamiltonicity in specific graph classes

## Abstract

We provide a polynomial time algorithm to determine a cubic bipartite graph has a hamilton cycle or not.

## Full text

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## References

2 references — full list in the complete paper: https://tomesphere.com/paper/1812.06404/full.md

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Source: https://tomesphere.com/paper/1812.06404