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COMPGEOM
2010
ACM
14 years 24 days ago
Output-sensitive algorithm for the edge-width of an embedded graph
Let G be an unweighted graph of complexity n cellularly embedded in a surface (orientable or not) of genus g. We describe improved algorithms to compute (the length of) a shortest...
Sergio Cabello, Éric Colin de Verdiè...
STOC
2005
ACM
96views Algorithms» more  STOC 2005»
14 years 8 months ago
Every monotone graph property is testable
A graph property is called monotone if it is closed under taking (not necessarily induced) subgraphs (or, equivalently, if it is closed under removal of edges and vertices). Many ...
Noga Alon, Asaf Shapira
COCOA
2009
Springer
14 years 2 months ago
Improved Bounds for Facility Location Games with Fair Cost Allocation
Abstract. We study Facility Location games played by n agents situated on the nodes of a graph. Each agent orders installation of a facility at a node of the graph and pays connect...
Thomas Dueholm Hansen, Orestis Telelis
COMPGEOM
2011
ACM
12 years 11 months ago
Reeb graphs: approximation and persistence
Given a continuous function f : X → IR on a topological space X, its level set f−1 (a) changes continuously as the real value a changes. Consequently, the connected components...
Tamal K. Dey, Yusu Wang
COMPGEOM
2004
ACM
14 years 1 months ago
Low-dimensional embedding with extra information
A frequently arising problem in computational geometry is when a physical structure, such as an ad-hoc wireless sensor network or a protein backbone, can measure local information...
Mihai Badoiu, Erik D. Demaine, Mohammad Taghi Haji...