2009•Unpublished venueRequires access

Every four-colorable graph is isomorphic to a subgraph of the Visibility Graph of the Integer Lattice

David Flores‐Peñaloza, Francisco Javier Zaragoza Martínez

Open publisher page 5 citations

Abstract

We prove that a graph is 4-colorable if and only if it can be drawn with vertices in the integer lattice, using as edges only line segments not containing a third point of the lattice. 1

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What this paper is about

We prove that a graph is 4-colorable if and only if it can be drawn with vertices in the integer lattice, using as edges only line segments not containing a third point of the lattice. 1

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OpenAlex reports 5 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

We prove that a graph is 4-colorable if and only if it can be drawn with vertices in the integer lattice, using as edges only line segments not containing a third point of the lattice. 1

Key concepts: Combinatorics, Integer lattice, Mathematics, Wheel graph, Graph factorization, Graph, Lattice (music), Discrete mathematics

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