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DCC
2011
IEEE
13 years 4 months ago
Directed graph representation of half-rate additive codes over GF(4)
We show that (n, 2n ) additive codes over GF(4) can be represented as directed graphs. This generalizes earlier results on self-dual additive codes over GF(4), which correspond to ...
Lars Eirik Danielsen, Matthew G. Parker
STOC
2003
ACM
114views Algorithms» more  STOC 2003»
14 years 9 months ago
Testing subgraphs in directed graphs
Let H be a fixed directed graph on h vertices, let G be a directed graph on n vertices and suppose that at least n2 edges have to be deleted from it to make it H-free. We show tha...
Noga Alon, Asaf Shapira
SODA
2003
ACM
130views Algorithms» more  SODA 2003»
13 years 10 months ago
Directed scale-free graphs
We introduce a model for directed scale-free graphs that grow with preferential attachment depending in a natural way on the in- and out-degrees. We show that the resulting in- an...
Béla Bollobás, Christian Borgs, Jenn...
ECCC
2006
112views more  ECCC 2006»
13 years 9 months ago
Faster algorithms for finding lowest common ancestors in directed acyclic graphs
We present two new methods for finding a lowest common ancestor (LCA) for each pair of vertices of a directed acyclic graph (dag) on n vertices and m edges. The first method is su...
Artur Czumaj, Miroslaw Kowaluk, Andrzej Lingas
CATS
2006
13 years 10 months ago
A Polynomial Algorithm for Codes Based on Directed Graphs
A complete description and proof of correctness are given for a new polynomial time algorithm for a class of codes based on directed graphs and involving construction well known i...
A. V. Kelarev