Subdivisions in apex graphs

preprint2010arXivOpen access

Abstract

The Kelmans-Seymour conjecture states that the 5-connected nonplanar graphs contain a subdivided K5K_{_5}. Certain questions of Mader propose a "plan" towards a possible resolution of this conjecture. One part of this plan is to show that a 5-connected nonplanar graph containing K4−K^-_{_4} or K2,3K_{_{2,3}} as a subgraph has a subdivided K5K_{_5}. Recently, Ma and Yu showed that a 5-connected nonplanar graph containing K4−K^-_{_4} as a subgraph has a subdivided K5K_{_5}. We take interest in K2,3K_{_{2,3}} and prove that a 5-connected nonplanar apex graph containing K2,3K_{_{2,3}} as a subgraph has a subdivided K5K_{_5}

Explore this paper’s authors, topics and related work.

Building this map preview

BZPEER is loading the nearby papers, people, topics and institutions for this page.

Reviews 0

Write a reviewWrite

No reviews yet.

Discussion 0

Add a commentWrite

No comments yet.