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Hadwiger conjecture (graph theory)

Known as: Hadwiger conjecture 
In graph theory, the Hadwiger conjecture (or Hadwiger's conjecture) states that, if all proper colorings of an undirected graph G use k or more… 
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Papers overview

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2018
2018
In this paper, we present a minimal chordal completion G∗ of a graphG satisfying the inequality ω(G∗)−ω(G) ≤ i(G) for the non… 
2018
2018
In this paper, we present a minimal chordal completion $G^*$ of a graph $G$ satisfying the inequality $\omega(G^*) - \omega(G… 
2016
2016
We investigate the famous Hadwiger Conjecture, focusing on unconditional convex bodies. We establish some facts about covering… 
2013
2013
We define new natural variants of the notions of weighted covering and separation numbers and discuss them in detail. We prove a… 
2010
2010
The Berge conjecture was proven by Chudnovsky, Robertson, Seymour and Thomas in a paper of 146 pages long (see [1]); in this… 
2010
2010
In this paper, we give a proof for four color theorem(four color conjecture). Our proof does not involve computer assistance and… 
2008
2008
LATEX by Adam Jobson For a family of graphs F closed under subgraphs, and a graph G from F , define a game (G,F) played by…