A note on a new result related to Chartrand, Kaigars and Lick's theorem

TL;DR

This paper presents a new theorem that generalizes a previous result by Chartrand, Kaigars, and Lick, and offers a simpler proof of an existing theorem by Mader, contributing to graph theory literature.

Contribution

It introduces a unifying theorem that extends earlier work and simplifies the proof of a known graph theory result.

Findings

Proved a generalized theorem encompassing Chartrand, Kaigars, and Lick's result.

Provided a simpler proof of Mader's theorem.

Enhanced understanding of related graph theoretical concepts.

Abstract

In this note, we prove a theorem covering Chartrand, Kaigars, and Lick's theorem in [Proc. Amer. Math. Soc. 32 (1972), 63-68]. As an application, we give a simpler proof of theorem proved by Mader [J. Graph Theory 65 (2010), 61-69. (Theorem 1)].