On the Maximum Diameter of $k$-Colorable Graphs

Author:

Czabarka Éva,Singgih Inne,Székely László A.

Abstract

We show that the diameter of connected $k$-colorable graphs with minimum degree $\geq \delta$ and order $n$ is at most $\left(3-\frac{1}{k-1}\right)\frac{n}{\delta}-1$, while for $k=3$, it is at most $\frac{57n}{23\delta}+O\left(1\right)$.  

Publisher

The Electronic Journal of Combinatorics

Subject

Computational Theory and Mathematics,Geometry and Topology,Theoretical Computer Science,Applied Mathematics,Discrete Mathematics and Combinatorics

Cited by 3 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Diameter, edge-connectivity, and C4-freeness;Discrete Mathematics;2023-05

2. Maximum diameter of 3‐ and 4‐colorable graphs;Journal of Graph Theory;2022-08-03

3. Acyclic, Star, and Injective Colouring: Bounding the Diameter;The Electronic Journal of Combinatorics;2022-06-03

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