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» Algorithms for Single-Source Vertex Connectivity
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ISAAC
2009
Springer
109views Algorithms» more  ISAAC 2009»
15 years 4 months ago
A Linear Vertex Kernel for Maximum Internal Spanning Tree
We present an algorithm that for any graph G and integer k ≥ 0 in time polynomial in the size of G either nds a spanning tree with at least k internal vertices, or outputs a ne...
Fedor V. Fomin, Serge Gaspers, Saket Saurabh, St&e...
CORR
2008
Springer
74views Education» more  CORR 2008»
14 years 9 months ago
Shortest Vertex-Disjoint Two-Face Paths in Planar Graphs
Abstract. Let G be a directed planar graph of complexity n, each arc having a nonnegative length. Let s and t be two distinct faces of G; let s1, . . . , sk be vertices incident wi...
Éric Colin de Verdière, Alexander Sc...
STOC
2010
ACM
170views Algorithms» more  STOC 2010»
15 years 1 months ago
Connectivity oracles for failure prone graphs
Dynamic graph connectivity algorithms have been studied for many years, but typically in the most general possible setting, where the graph can evolve in completely arbitrary ways...
Ran Duan, Seth Pettie
FOCS
2008
IEEE
15 years 3 months ago
Computing the Tutte Polynomial in Vertex-Exponential Time
The deletion–contraction algorithm is perhaps the most popular method for computing a host of fundamental graph invariants such as the chromatic, flow, and reliability polynomi...
Andreas Björklund, Thore Husfeldt, Petteri Ka...
APPROX
2006
Springer
234views Algorithms» more  APPROX 2006»
15 years 1 months ago
Constant-Factor Approximation for Minimum-Weight (Connected) Dominating Sets in Unit Disk Graphs
For a given graph with weighted vertices, the goal of the minimum-weight dominating set problem is to compute a vertex subset of smallest weight such that each vertex of the graph...
Christoph Ambühl, Thomas Erlebach, Matú...