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JACM
2000
119views more  JACM 2000»
13 years 7 months ago
A minimum spanning tree algorithm with Inverse-Ackermann type complexity
A deterministic algorithm for computing a minimum spanning tree of a connected graph is presented. Its running time is O(m (m, n)), where is the classical functional inverse of Ack...
Bernard Chazelle
IPL
2002
117views more  IPL 2002»
13 years 7 months ago
Complexity of weak acceptance conditions in tree automata
Weak acceptance conditions for automata on infinite words or trees are defined in terms of the set of states that appear in the run. This is in contrast with, more usual, strong c...
Jakub Neumann, Andrzej Szepietowski, Igor Walukiew...
MOR
2007
116views more  MOR 2007»
13 years 7 months ago
Complex Matrix Decomposition and Quadratic Programming
This paper studies the possibilities of the Linear Matrix Inequality (LMI) characterization of the matrix cones formed by nonnegative complex Hermitian quadratic functions over sp...
Yongwei Huang, Shuzhong Zhang
JAPLL
2006
87views more  JAPLL 2006»
13 years 7 months ago
Is ZF a hack?: Comparing the complexity of some (formalist interpretations of) foundational systems for mathematics
This paper presents Automath encodings (which also are valid in LF/P) of various kinds of foundations of mathematics. Then it compares these encodings according to their size, to f...
Freek Wiedijk
JC
2006
105views more  JC 2006»
13 years 7 months ago
On the complexity of the resolvent representation of some prime differential ideals
We prove upper bounds on the order and degree of the polynomials involved in a resolvent representation of the prime differential ideal associated with a polynomial differential s...
Lisi D'Alfonso, Gabriela Jeronimo, Pablo Solern&oa...