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TCS
2008
15 years 6 months ago
On the structure of graphs in the Caucal hierarchy
We investigate the structure of graphs in the Caucal hierarchy. We provide criteria concerning the degree of vertices or the length of paths which can be used to show that a given ...
Achim Blumensath
CORR
2010
Springer
143views Education» more  CORR 2010»
15 years 6 months ago
Quasi-randomness of graph balanced cut properties
Quasi-random graphs can be informally described as graphs whose edge distribution closely resembles that of a truly random graph of the same edge density. Recently, Shapira and Yu...
Hao Huang, Choongbum Lee
CORR
2006
Springer
144views Education» more  CORR 2006»
15 years 6 months ago
The minimum linear arrangement problem on proper interval graphs
We present a linear time algorithm for the minimum linear arrangement problem on proper interval graphs. The obtained ordering is a 4-approximation for general interval graphs. 1 ...
Ilya Safro
STOC
2006
ACM
166views Algorithms» more  STOC 2006»
16 years 6 months ago
New upper and lower bounds for randomized and quantum local search
Local Search problem, which finds a local minimum of a black-box function on a given graph, is of both practical and theoretical importance to combinatorial optimization, complexi...
Shengyu Zhang
SIGMOD
2006
ACM
194views Database» more  SIGMOD 2006»
16 years 6 months ago
Graph-based synopses for relational selectivity estimation
This paper introduces the Tuple Graph (TuG) synopses, a new class of data summaries that enable accurate selectivity estimates for complex relational queries. The proposed summari...
Joshua Spiegel, Neoklis Polyzotis