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» Lower Bounds for Testing Bipartiteness in Dense Graphs
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JCT
1998
122views more  JCT 1998»
13 years 7 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
COMGEO
2007
ACM
13 years 7 months ago
Graph drawings with few slopes
The slope-number of a graph G is the minimum number of distinct edge slopes in a straight-line drawing of G in the plane. We prove that for Δ 5 and all large n, there is a Δ-reg...
Vida Dujmovic, Matthew Suderman, David R. Wood
DAC
1996
ACM
13 years 11 months ago
Lower Bounds on Test Resources for Scheduled Data Flow Graphs
Ishwar Parulkar, Sandeep K. Gupta, Melvin A. Breue...
SODA
2004
ACM
87views Algorithms» more  SODA 2004»
13 years 9 months ago
Optimal space lower bounds for all frequency moments
We prove that any one-pass streaming algorithm which ( , )-approximates the kth frequency moment Fk, for any real k = 1 and any = 1 m , must use 1 2 bits of space, where m is th...
David P. Woodruff
CORR
2008
Springer
97views Education» more  CORR 2008»
13 years 7 months ago
Lower bounds for adaptive linearity tests
Linearity tests are randomized algorithms which have oracle access to the truth table of some function f, and are supposed to distinguish between linear functions and functions whi...
Shachar Lovett