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FOCS
1998
IEEE
13 years 12 months ago
Parametric and Kinetic Minimum Spanning Trees
We consider the parametric minimum spanning tree problem, in which we are given a graph with edge weights that are linear functions of a parameter and wish to compute the sequenc...
Pankaj K. Agarwal, David Eppstein, Leonidas J. Gui...
CPC
2007
88views more  CPC 2007»
13 years 7 months ago
Zero-Free Intervals for Flow Polynomials of Near-Cubic Graphs
Let P(G,t) and F(G,t) denote the chromatic and flow polynomials of a graph G. G.D. Birkhoff and D.C. Lewis showed that, if G is a plane near triangulation, then the only zeros of...
Bill Jackson
ALGORITHMICA
2004
150views more  ALGORITHMICA 2004»
13 years 7 months ago
Sum Coloring of Bipartite Graphs with Bounded Degree
We consider the Chromatic Sum Problem on bipartite graphs which appears to be much harder than the classical Chromatic Number Problem. We prove that the Chromatic Sum Problem is NP...
Michal Malafiejski, Krzysztof Giaro, Robert Jancze...
SODA
1994
ACM
138views Algorithms» more  SODA 1994»
13 years 9 months ago
Average Case Analysis of Dynamic Geometric Optimization
We maintain the maximum spanning tree of a planar point set, as points are inserted or deleted, in O(log3 n) time per update in Mulmuley's expected-case model of dynamic geom...
David Eppstein
SIAMDM
2010
149views more  SIAMDM 2010»
13 years 6 months ago
Formal Theory of Noisy Sensor Network Localization
Graph theory has been used to characterize the solvability of the sensor network localization problem. If sensors correspond to vertices and edges correspond to sensor pairs betwee...
Brian D. O. Anderson, Iman Shames, Guoqiang Mao, B...