Every four-colorable graph is isomorphic to a subgraph of the Visibility Graph of the Integer Lattice
David Flores‐Peñaloza, Francisco Javier Zaragoza Martínez
Abstract
David Flores‐Peñaloza, Francisco Javier Zaragoza Martínez
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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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