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» Bounds on the Number of Maximal Sum-Free Sets
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ENDM
2007
60views more  ENDM 2007»
13 years 5 months ago
Bounds on the Number of Maximal Sum-Free Sets
We show that the number of maximal sum-free subsets of {1, 2, . . . , n} is at most 23n/8+o(n) . We also show that 20.406n+o(n) is an upper bound on the number of maximal product-...
Guy Wolfovitz
COMBINATORICS
2000
87views more  COMBINATORICS 2000»
13 years 5 months ago
Symmetric Sum-Free Partitions and Lower Bounds for Schur Numbers
We give new lower bounds for the Schur numbers S(6) and S(7). This will imply new lower bounds for the Multicolor Ramsey Numbers R6(3) and R7(3). We also make several observations...
Harold Fredricksen, Melvin M. Sweet
ICDCN
2011
Springer
12 years 8 months ago
Deterministic Dominating Set Construction in Networks with Bounded Degree
This paper considers the problem of calculating dominating sets in networks with bounded degree. In these networks, the maximal degree of any node is bounded by Δ, which is usuall...
Roy Friedman, Alex Kogan
WDAG
2005
Springer
130views Algorithms» more  WDAG 2005»
13 years 11 months ago
Fast Deterministic Distributed Maximal Independent Set Computation on Growth-Bounded Graphs
Abstract. The distributed complexity of computing a maximal independent set in a graph is of both practical and theoretical importance. While there exists an elegant O(log n) time ...
Fabian Kuhn, Thomas Moscibroda, Tim Nieberg, Roger...
JCT
2011
108views more  JCT 2011»
13 years 11 days ago
The number of extreme points of tropical polyhedra
The celebrated upper bound theorem of McMullen determines the maximal number of extreme points of a polyhedron in terms of its dimension and the number of constraints which define...
Xavier Allamigeon, Stéphane Gaubert, Ricard...