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» The vertex-cover polynomial of a graph
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66
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FOCS
2008
IEEE
15 years 4 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...
80
Voted
CSR
2008
Springer
14 years 11 months ago
Comparing Universal Covers in Polynomial Time
The universal cover TG of a connected graph G is the unique (possible infinite) tree covering G, i.e., that allows a locally bijective homomorphism from TG to G. Universal covers h...
Jirí Fiala, Daniël Paulusma
ESA
2008
Springer
101views Algorithms» more  ESA 2008»
14 years 11 months ago
Faster Steiner Tree Computation in Polynomial-Space
Given an n-node graph and a subset of k terminal nodes, the NP-hard Steiner tree problem is to compute a minimum-size tree which spans the terminals. All the known algorithms for t...
Fedor V. Fomin, Fabrizio Grandoni, Dieter Kratsch
68
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DM
2006
108views more  DM 2006»
14 years 9 months ago
Optimal broadcast domination in polynomial time
Broadcast domination was introduced by Erwin in 2002, and it is a variant of the standard dominating set problem, such that different vertices can be assigned different domination...
Pinar Heggernes, Daniel Lokshtanov
IWOCA
2009
Springer
119views Algorithms» more  IWOCA 2009»
15 years 4 months ago
Fully Decomposable Split Graphs
We discuss various questions around partitioning a split graph into connected parts. Our main result is a polynomial time algorithm that decides whether a given split graph is full...
Hajo Broersma, Dieter Kratsch, Gerhard J. Woeginge...