Sciweavers

JCT
1998
122views more  JCT 1998»
13 years 4 months ago
Counting 1-Factors in Regular Bipartite Graphs
We show that any k-regular bipartite graph with 2n vertices has at least ((k−1)k−1 kk−2 )n perfect matchings (1-factors). Equivalently, this is a lower bound on the permanent...
Alexander Schrijver
DCG
1999
93views more  DCG 1999»
13 years 4 months ago
New Maximal Numbers of Equilibria in Bimatrix Games
This paper presents a new lower bound of 2:414d= p d on the maximal number of Nash equilibria in d d bimatrix games, a central concept in game theory. The proof uses an equivalent ...
Bernhard von Stengel
JACM
2002
122views more  JACM 2002»
13 years 4 months ago
Cosmological lower bound on the circuit complexity of a small problem in logic
An exponential lower bound on the circuit complexity of deciding the weak monadic second-order theory of one successor (WS1S) is proved. Circuits are built from binary operations, ...
Larry J. Stockmeyer, Albert R. Meyer
CORR
1998
Springer
106views Education» more  CORR 1998»
13 years 4 months ago
Lower Bounds for Quantum Search and Derandomization
We prove lower bounds on the error probability of a quantum algorithm for searching through an unordered list of N items, as a function of the number T of queries it makes. In par...
Harry Buhrman, Ronald de Wolf
SIAMCOMP
2000
104views more  SIAMCOMP 2000»
13 years 4 months ago
A Near-Tight Lower Bound on the Time Complexity of Distributed Minimum-Weight Spanning Tree Construction
This paper presents a lower bound of (D + n/ log n) on the time required for the distributed construction of a minimum-weight spanning tree (MST) in weighted n-vertex networks of ...
David Peleg, Vitaly Rubinovich
IPL
2000
98views more  IPL 2000»
13 years 4 months ago
Linear complexity of the Naor-Reingold pseudo-random function
We obtain an exponential lower bound on the non-linear complexity of the new pseudo-random function, introduced recently by M. Naor and O. Reingold. This bound is an extension of t...
Igor Shparlinski
DAM
2002
72views more  DAM 2002»
13 years 4 months ago
On the bound for anonymous secret sharing schemes
In anonymous secret sharing schemes, the secret can be reconstructed without knowledge of which participants hold which shares. In this paper, we derive a tighter lower bound on t...
Wataru Kishimoto, Koji Okada, Kaoru Kurosawa, Waka...
ENTCS
2000
97views more  ENTCS 2000»
13 years 4 months ago
Complexity of Weak Bisimilarity and Regularity for BPA and BPP
It is an open problem whether weak bisimilarity is decidable for Basic Process Algebra (BPA) and Basic Parallel Processes (BPP). A PSPACE lower bound for BPA and NP lower bound fo...
Jirí Srba
DM
2000
76views more  DM 2000»
13 years 4 months ago
On the number of ordered factorizations of natural numbers
We study the number of ways to factor a natural number n into an ordered product of integers, each factor greater than one, denoted by H(n). This counting function from number the...
Benny Chor, Paul Lemke, Ziv Mador
DCC
2000
IEEE
13 years 4 months ago
Relating Differential Distribution Tables to Other Properties of of Substitution Boxes
Due to the success of differential and linear attacks on a large number of encryption algorithms, it is importanttoinvestigaterelationshipsamongvariouscryptographic, includingdiffe...
Xian-Mo Zhang, Yuliang Zheng, Hideki Imai