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COMBINATORICS
2000
120views more  COMBINATORICS 2000»
13 years 4 months ago
The Characteristic Polynomial of a Graph is Reconstructible from the Characteristic Polynomials of its Vertex-Deleted Subgraphs
The question of whether the characteristic polynomial of a simple graph is uniquely determined by the characteristic polynomials of its vertex-deleted subgraphs is one of the many...
Elias M. Hagos
STOC
2010
ACM
224views Algorithms» more  STOC 2010»
13 years 8 months ago
Satisfiability Allows No Nontrivial Sparsification Unless The Polynomial-Time Hierarchy Collapses
Consider the following two-player communication process to decide a language L: The first player holds the entire input x but is polynomially bounded; the second player is computa...
Holger Dell and Dieter van Melkebeek
ISSAC
2009
Springer
150views Mathematics» more  ISSAC 2009»
13 years 11 months ago
On finding multiplicities of characteristic polynomial factors of black-box matrices
We present algorithms and heuristics to compute the characteristic polynomial of a matrix given its minimal polynomial. The matrix is represented as a black-box, i.e., by a functi...
Jean-Guillaume Dumas, Clément Pernet, B. Da...
ICPR
2008
IEEE
13 years 11 months ago
Pattern vectors from the Ihara zeta function
This paper shows how to construct pattern vectors from the Ihara zeta function for the purposes of characterizing graph structures. To avoid the risk of sampling the meaningless i...
Peng Ren, Richard C. Wilson, Edwin R. Hancock
BMCBI
2006
127views more  BMCBI 2006»
13 years 4 months ago
Construction of phylogenetic trees by kernel-based comparative analysis of metabolic networks
Background: To infer the tree of life requires knowledge of the common characteristics of each species descended from a common ancestor as the measuring criteria and a method to c...
Sok June Oh, Je-Gun Joung, Jeong Ho Chang, Byoung-...