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JGAA
2010
128views more  JGAA 2010»
14 years 8 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...
EJC
2008
14 years 9 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»
14 years 11 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 4 months ago
Hamilton Cycles in Random Graphs with a Fixed Degree Sequence
Let d = d1 d2
Colin Cooper, Alan M. Frieze, Michael Krivelevich
SPAA
2003
ACM
15 years 2 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