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» On perfectness of sums of graphs
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STOC
1990
ACM
96views Algorithms» more  STOC 1990»
13 years 11 months ago
Monotone Circuits for Matching Require Linear Depth
We prove that monotone circuits computing the perfect matching function on n-vertex graphs require (n) depth. This implies an exponential gap between the depth of monotone and non...
Ran Raz, Avi Wigderson
DM
2008
68views more  DM 2008»
13 years 7 months ago
Heavy cycles in k-connected weighted graphs with large weighted degree sums
A weighted graph is one in which every edge e is assigned a nonnegative number w(e), called the weight of e. The weight of a cycle is defined as the sum of the weights of its edge...
Bing Chen, Shenggui Zhang, T. C. Edwin Cheng
DAM
2010
116views more  DAM 2010»
13 years 7 months ago
Minimum sum edge colorings of multicycles
In the minimum sum edge coloring problem, we aim to assign natural numbers to edges of a graph, so that adjacent edges receive different numbers, and the sum of the numbers assign...
Jean Cardinal, Vlady Ravelomanana, Mario Valencia-...
WG
1993
Springer
13 years 11 months ago
Graphs, Hypergraphs and Hashing
Minimal perfect hash functions are used for memory efficient storage and fast retrieval of items from static sets. We present an infinite family of efficient and practical algori...
George Havas, Bohdan S. Majewski, Nicholas C. Worm...
JGT
2010
128views more  JGT 2010»
13 years 6 months ago
On antimagic directed graphs
An antimagic labeling of an undirected graph G with n vertices and m edges is a bijection from the set of edges of G to the integers {1, . . . , m} such that all n vertex sums are...
Dan Hefetz, Torsten Mütze, Justus Schwartz