Topologically Fragmental Space and the Proof of Hadwiger's Conjecture

arXivmath/0311475MaRDI QIDQ6473394

Author name not available (Why is that?)

Publication date: 26 November 2003

Abstract: A topological space is introduced in this paper. Just liking the plane, it's continuous, however its $n+1$ regions couldn't be mutually adjacent. Some important phenomenon about its cross-section are discussed. The geometric generating element of the coloring region-map is also an important concept. Every $n$-coloring region map is in the cross-section set of an $n$-color geometric generating element. The proof of four color theorem and Hadwiger's conjecture is obtained by researching them and their cross-sections. And we can see in the context, that those conjectures are not of graph theory, but such topological space.

Mathematics Subject Classification ID

No records found.

This page was built for publication: Topologically Fragmental Space and the Proof of Hadwiger's Conjecture

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6473394)