Contact graphs of boxes with unidirectional contacts
Copyright policy )Contact graphs of boxes with unidirectional contacts
This paper is devoted to the study of particular geometrically defined intersection classes of graphs. Those were previously studied by Magnant and Martin, who proved that these graphs have arbitrary large chromatic number, while being triangle-free. We give several structural properties of these graphs, and we raise several questions.
FOS: Computer and information sciences, Intersection graphs, Discrete Mathematics (cs.DM), mathematics - combinatorics, Graph operations (line graphs, products, etc.), Graph representations (geometric and intersection representations, etc.), G.2.2.0: Graph algorithms, [INFO] Computer Science [cs], intersection graphs, Graph theory, [INFO.INFO-DM] Computer Science [cs]/Discrete Mathematics [cs.DM], computer science - discrete mathematics, QA1-939, FOS: Mathematics, Mathematics - Combinatorics, Combinatorics (math.CO), G.2.2.1: Graph labeling, Mathematics, Computer Science - Discrete Mathematics
FOS: Computer and information sciences, Intersection graphs, Discrete Mathematics (cs.DM), mathematics - combinatorics, Graph operations (line graphs, products, etc.), Graph representations (geometric and intersection representations, etc.), G.2.2.0: Graph algorithms, [INFO] Computer Science [cs], intersection graphs, Graph theory, [INFO.INFO-DM] Computer Science [cs]/Discrete Mathematics [cs.DM], computer science - discrete mathematics, QA1-939, FOS: Mathematics, Mathematics - Combinatorics, Combinatorics (math.CO), G.2.2.1: Graph labeling, Mathematics, Computer Science - Discrete Mathematics
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