A Efficient Algorithm For Computing k-Factor

TL;DR

This paper proves a theorem on the existence of k-factors for graphs with k>1 and introduces an efficient algorithm to compute k-factors for all k values, enhancing graph factor computation methods.

Contribution

It presents a new theorem guaranteeing k-factor existence and an efficient algorithm for computing k-factors across all k values, improving previous approaches.

Findings

Theorem establishing conditions for k-factor existence.

Efficient algorithm applicable to all k values.

Enhanced computational performance for k-factor problems.

Abstract

This article will prove a theorem for the existence of k-factor for k>1 ,and present an efficient algorithm for computing k-factor for all values of k based on this theorem.