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Testing Bipartiteness of Geometric Intersection Graphs

Testing Bipartiteness of Geometric Intersection Graphs 2025

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The document discusses the bipartiteness of geometric intersection graphs, presenting algorithms and results related to determining whether such graphs can be colored with two colors without adjacent vertices sharing the same color. It covers various geometric objects like circles, rectangles, and line segments, detailing methods for efficiently analyzing their intersection graphs. The author, David Eppstein from UC Irvine, highlights new approaches that improve upon traditional graph algorithms, suggesting that bipartiteness can be determined more quickly than connectivity in these contexts.

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