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FSTTCS
2008
Springer
13 years 5 months ago
Pruning 2-Connected Graphs
Given an edge-weighted undirected graph G with a specified set of terminals, let the density of any subgraph be the ratio of its weight/cost to the number of terminals it contain...
Chandra Chekuri, Nitish Korula
UAI
2008
13 years 5 months ago
Learning Inclusion-Optimal Chordal Graphs
Chordal graphs can be used to encode dependency models that are representable by both directed acyclic and undirected graphs. This paper discusses a very simple and efficient algo...
Vincent Auvray, Louis Wehenkel
FCT
2007
Springer
13 years 6 months ago
On the Complexity of Kings
The diameter of an undirected graph is the minimal number d such that there is a path between any two vertices of the graph of length at most d. The radius of a graph is the minim...
Edith Hemaspaandra, Lane A. Hemaspaandra, Till Tan...
CPM
2008
Springer
149views Combinatorics» more  CPM 2008»
13 years 6 months ago
On Compact Representations of All-Pairs-Shortest-Path-Distance Matrices
Let G be an unweighted and undirected graph of n nodes, and let D be the n
Igor Nitto, Rossano Venturini
ESA
2000
Springer
110views Algorithms» more  ESA 2000»
13 years 8 months ago
Maintaining a Minimum Spanning Tree Under Transient Node Failures
Given a 2-node connected, undirected graph G = (V, E), with n nodes and m edges with real weights, and given a minimum spanning tree (MST) T = (V, ET ) of G, we study the problem o...
Enrico Nardelli, Guido Proietti, Peter Widmayer
ICALP
1994
Springer
13 years 8 months ago
Finding Even Cycles Even Faster
We describe efficient algorithms for finding even cycles in undirected graphs. Our main results are the following: (i) For every k 2, there is an O(V 2) time algorithm that decide...
Raphael Yuster, Uri Zwick
ESA
2004
Springer
95views Algorithms» more  ESA 2004»
13 years 9 months ago
On Dynamic Shortest Paths Problems
We obtain the following results related to dynamic versions of the shortest-paths problem: (i) Reductions that show that the incremental and decremental singlesource shortest-paths...
Liam Roditty, Uri Zwick
WEA
2005
Springer
98views Algorithms» more  WEA 2005»
13 years 9 months ago
Implementing Minimum Cycle Basis Algorithms
Abstract. In this paper we consider the problem of computing a minimum cycle basis of an undirected graph G = (V, E) with n vertices and m edges. We describe an efficient implement...
Kurt Mehlhorn, Dimitrios Michail
ICNC
2005
Springer
13 years 9 months ago
Drawing Undirected Graphs with Genetic Algorithms
This paper proposes an improved genetic algorithm for producing aesthetically pleasing drawings of general undirected graphs. Previous undirected graph drawing algorithms draw larg...
Qing-Guo Zhang, Huayong Liu, Wei Zhang, Ya-Jun Guo
GD
2005
Springer
13 years 10 months ago
Applications of Parameterized st-Orientations in Graph Drawing Algorithms
Abstract. Many graph drawing algorithms use st-numberings (st-orientations or bipolar orientations) as a first step. An st-numbering of a biconnected undirected graph defines a d...
Charalampos Papamanthou, Ioannis G. Tollis