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CORR
2007
Springer
116views Education» more  CORR 2007»
13 years 9 months ago
Frugal Colouring of Graphs
A k-frugal colouring of a graph G is a proper colouring of the vertices of G such that no colour appears more than k times in the neighbourhood of a vertex. This type of colouring...
Omid Amini, Louis Esperet, Jan van den Heuvel
GD
2004
Springer
14 years 2 months ago
Simultaneous Embedding of Planar Graphs with Few Bends
We present an O(n) time algorithm for simultaneous embedding of pairs of planar graphs on the O(n2 )×O(n2 ) grid, with at most three bends per edge, where n is the number of verti...
Cesim Erten, Stephen G. Kobourov
IPL
2006
69views more  IPL 2006»
13 years 9 months ago
On computing the smallest four-coloring of planar graphs and non-self-reducible sets in P
We show that computing the lexicographically first four-coloring for planar graphs is p 2hard. This result optimally improves upon a result of Khuller and Vazirani who prove this ...
André Große, Jörg Rothe, Gerd We...
ESA
1999
Springer
95views Algorithms» more  ESA 1999»
14 years 1 months ago
A Fast General Methodology for Information - Theoretically Optimal Encodings of Graphs
We propose a fast methodology for encoding graphs with information-theoretically minimum numbers of bits. Specifically, a graph with property π is called a π-graph. If π satis...
Xin He, Ming-Yang Kao, Hsueh-I Lu
IPL
2002
65views more  IPL 2002»
13 years 8 months ago
A new bound for map labeling with uniform circle pairs
Given a planar point set, we wish to label the points with uniform circular labels such that each input point lies on the boundary of two labels, none of the interiors of the labe...
Michael J. Spriggs, J. Mark Keil