Computational topology of graphs on surfaces [article]

Éric Colin de Verdière
2017 arXiv   pre-print
Computational topology is an area that revisits topological problems from an algorithmic point of view, and develops topological tools for improved algorithms. We survey results in computational topology that are concerned with graphs drawn on surfaces. Typical questions include representing surfaces and graphs embedded on them computationally, deciding whether a graph embeds on a surface, solving computational problems related to homotopy, optimizing curves and graphs on surfaces, and solving
more » ... tandard graph algorithm problems more efficiently in the case of surface-embedded graphs.
arXiv:1702.05358v2 fatcat:6vlahbtjnbaxhg4yy2zotfrsym