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» Algorithms for Modular Counting of Roots of Multivariate Pol...
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SODA
2004
ACM
93views Algorithms» more  SODA 2004»
13 years 8 months ago
Bipartite roots of graphs
Graph H is a root of graph G if there exists a positive integer k such that x and y are adjacent in G if and only if their distance in H is at most k. Motwani and Sudan [1994] prov...
Lap Chi Lau
CPC
2006
93views more  CPC 2006»
13 years 6 months ago
Generating Outerplanar Graphs Uniformly at Random
We show how to generate labeled and unlabeled outerplanar graphs with n vertices uniformly at random in polynomial time in n. To generate labeled outerplanar graphs, we present a c...
Manuel Bodirsky, Mihyun Kang
JACM
2000
119views more  JACM 2000»
13 years 6 months ago
A subdivision-based algorithm for the sparse resultant
Multivariate resultants generalize the Sylvester resultant of two polynomials and characterize the solvability of a polynomial system. They also reduce the computation of all comm...
John F. Canny, Ioannis Z. Emiris
ISAAC
2005
Springer
123views Algorithms» more  ISAAC 2005»
14 years 6 days ago
Sampling Unlabeled Biconnected Planar Graphs
We present an expected polynomial time algorithm to generate a 2-connected unlabeled planar graph uniformly at random. To do this we first derive recurrence formulas to count the ...
Manuel Bodirsky, Clemens Gröpl, Mihyun Kang
CORR
2006
Springer
90views Education» more  CORR 2006»
13 years 6 months ago
Symmetric Subresultants and Applications
Schur's transforms of a polynomial are used to count its roots in the unit disk. These are generalized them by introducing the sequence of symmetric sub-resultants of two pol...
Cyril Brunie, Philippe Saux Picart