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CSR
2009
Springer
14 years 2 months ago
On the Complexity of Matroid Isomorphism Problems
We study the complexity of testing if two given matroids are isomorphic. The problem is easily seen to be in Σp 2 . In the case of linear matroids, which are represented over poly...
B. V. Raghavendra Rao, Jayalal M. N. Sarma
CORR
2008
Springer
72views Education» more  CORR 2008»
13 years 7 months ago
Longest paths in Planar DAGs in Unambiguous Logspace
Reachability and distance computation are known to be NL-complete in general graphs, but within UL co-UL if the graphs are planar. However, finding longest paths is known to be N...
Nutan Limaye, Meena Mahajan, Prajakta Nimbhorkar
STACS
2007
Springer
14 years 1 months ago
Compact Forbidden-Set Routing
We study the following problem. Given a weighted planar graph G, assign labels L(v) to vertices so that given L(u), L(v) and L(x) for x ∈ X for any X ⊂ V (G), compute the dist...
Bruno Courcelle, Andrew Twigg
ACTA
2007
92views more  ACTA 2007»
13 years 7 months ago
Solving #SAT using vertex covers
Abstract We propose an exact algorithm for counting the models of propositional formulas in conjunctive normal form (CNF). Our algorithm is based on the detection of strong backdoo...
Naomi Nishimura, Prabhakar Ragde, Stefan Szeider
CCCG
1998
13 years 9 months ago
Proximity drawings of binary trees in polynomial area
In this paper, we study weak {proximity drawings. All known algorithms that compute (weak) proximity drawings produce representations whose area increases exponentiallywith the nu...
Paolo Penna, Paola Vocca