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JGAA
2010
128views more  JGAA 2010»
14 years 10 months ago
Intersection Graphs of Pseudosegments: Chordal Graphs
We investigate which chordal graphs have a representation as intersection graphs of pseudosegments. For positive we have a construction which shows that all chordal graphs that ca...
Cornelia Dangelmayr, Stefan Felsner, William T. Tr...
88
Voted
EJC
2008
14 years 11 months ago
Fractional chromatic number of distance graphs generated by two-interval sets
Let D be a set of positive integers. The distance graph generated by D, denoted by G(Z, D), has the set Z of all integers as the vertex Supported in part by the National Science ...
Daphne Der-Fen Liu, Xuding Zhu
SODA
2004
ACM
93views Algorithms» more  SODA 2004»
15 years 1 months ago
Bipartite roots of graphs
Graph H is a root of graph G if there exists a positive integer k such that x and y are adjacent in G if and only if their distance in H is at most k. Motwani and Sudan [1994] prov...
Lap Chi Lau
SIAMDM
2010
102views more  SIAMDM 2010»
14 years 6 months ago
Hamilton Cycles in Random Graphs with a Fixed Degree Sequence
Let d = d1 d2
Colin Cooper, Alan M. Frieze, Michael Krivelevich
80
Voted
SPAA
2003
ACM
15 years 5 months ago
Optimal fault-tolerant linear arrays
This paper proves that for every positive integers n and k, we can explicitly construct a graph G with n+O(k) vertices and maximum degree 3, such that even after removing any k ve...
Toshinori Yamada, Shuichi Ueno