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COMBINATORICA
2010
14 years 6 months ago
Approximation algorithms via contraction decomposition
We prove that the edges of every graph of bounded (Euler) genus can be partitioned into any prescribed number k of pieces such that contracting any piece results in a graph of bou...
Erik D. Demaine, MohammadTaghi Hajiaghayi, Bojan M...
IPL
2010
247views more  IPL 2010»
14 years 9 months ago
The Floyd-Warshall algorithm on graphs with negative cycles
The Floyd-Warshall algorithm is a simple and widely used algorithm to compute shortest paths between all pairs of vertices in an edge weighted directed graph. It can also be used ...
Stefan Hougardy
ATMOS
2009
130views Optimization» more  ATMOS 2009»
15 years 7 days ago
Arc-Flags in Dynamic Graphs
Abstract. Computation of quickest paths has undergoing a rapid development in recent years. It turns out that many high-performance route planning algorithms are made up of several...
Emanuele Berrettini, Gianlorenzo D'Angelo, Daniel ...
SODA
1997
ACM
93views Algorithms» more  SODA 1997»
15 years 14 days ago
Fast Approximate Graph Partitioning Algorithms
We study graph partitioning problems on graphs with edge capacities and vertex weights. The problems of b-balanced cuts and k-balanced partitions are unified into a new problem ca...
Guy Even, Joseph Naor, Satish Rao, Baruch Schieber
DAM
2006
47views more  DAM 2006»
14 years 11 months ago
Trees of extremal connectivity index
The connectivity index w(G) of a graph G is the sum of the weights (d(u)d(v)) of all edges uv of G, where is a real number ( = 0), and d(u) denotes the degree of the vertex u. Le...
Huiqing Liu, Mei Lu, Feng Tian