Partitioning planar graphs with girth at least 9 into an edgeless graph and a graph with bounded size components

In this paper, we study the problem of partitioning the vertex set of a planar graph with girth restriction into parts, also referred to as color classes, such that each part induces a graph with components of bounded order. An ($ \mathcal{I} $, $ \mathcal{O}_{k} $)-partition of a graph $ G $ is the...

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Bibliographic Details
Main Authors: Chunyu Tian, Lei Sun
Format: Article
Language:English
Published: AIMS Press 2021-08-01
Series:Mathematical Modelling and Control
Subjects:
Online Access:https://www.aimspress.com/article/doi/10.3934/mmc.2021012?viewType=HTML