Partitioning kite‐free planar graphs into two forests

Author:

Wang Yang1,Wang Yiqiao2ORCID,Lih Ko‐Wei3

Affiliation:

1. Department of Mathematics Zhejiang Normal University Jinhua China

2. Department of Mathematics Beijing University of Technology Beijing China

3. Institute of Mathematics Academia Sinica Taipei Taiwan

Abstract

AbstractA kite is a complete graph on four vertices with one edge removed. It is proved that every planar graph without a kite as subgraph can be partitioned into two induced forests. This resolves a conjecture of Raspaud and Wang in 2008.

Funder

National Natural Science Foundation of China

Publisher

Wiley

Subject

Geometry and Topology,Discrete Mathematics and Combinatorics

Reference9 articles.

1. The point-arboricity of a graph

2. The Point-Arboricity of Planar Graphs

3. Vertex-arboricity of planar graphs without intersecting triangles

4. M. R.Garey andD. S.Johnson Computers and intractability: A guide to the theory of NP‐completeness W.H. Freeman and Company New York  1979.

5. Acyclic colorings of planar graphs

Cited by 2 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. Partitioning planar graphs into bounded degree forests;Applied Mathematics and Computation;2024-08

2. Partitioning a planar graph without chordal 5-cycles into two forests;Czechoslovak Mathematical Journal;2024-06-03

同舟云学术

1.学者识别学者识别

2.学术分析学术分析

3.人才评估人才评估

"同舟云学术"是以全球学者为主线,采集、加工和组织学术论文而形成的新型学术文献查询和分析系统,可以对全球学者进行文献检索和人才价值评估。用户可以通过关注某些学科领域的顶尖人物而持续追踪该领域的学科进展和研究前沿。经过近期的数据扩容,当前同舟云学术共收录了国内外主流学术期刊6万余种,收集的期刊论文及会议论文总量共计约1.5亿篇,并以每天添加12000余篇中外论文的速度递增。我们也可以为用户提供个性化、定制化的学者数据。欢迎来电咨询!咨询电话:010-8811{复制后删除}0370

www.globalauthorid.com

TOP

Copyright © 2019-2024 北京同舟云网络信息技术有限公司
京公网安备11010802033243号  京ICP备18003416号-3