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» Improved upper bounds on the crossing number
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ENDM
2008
118views more  ENDM 2008»
13 years 4 months ago
Number of Crossing-Free Geometric Graphs vs. Triangulations
We show that there is a constant > 0 such that, for any set P of n 5 points in general position in the plane, a crossing-free geometric graph on P that is chosen uniformly at...
Andreas Razen, Jack Snoeyink, Emo Welzl
WABI
2007
Springer
133views Bioinformatics» more  WABI 2007»
13 years 10 months ago
RNA Folding Including Pseudoknots: A New Parameterized Algorithm and Improved Upper Bound
Predicting the secondary structure of an RNA sequence is an important problem in structural bioinformatics. The general RNA folding problem, where the sequence to be folded may con...
Chunmei Liu, Yinglei Song, Louis W. Shapiro
JGT
2007
87views more  JGT 2007»
13 years 4 months ago
A new upper bound on the cyclic chromatic number
A cyclic colouring of a plane graph is a vertex colouring such that vertices incident with the same face have distinct colours. The minimum number of colours in a cyclic colouring...
Oleg V. Borodin, Hajo Broersma, Alexei N. Glebov, ...
APVIS
2008
13 years 6 months ago
Crossing Minimization meets Simultaneous Drawing
We define the concept of crossing numbers for simultaneous graphs by extending the crossing number problem of traditional graphs. We discuss differences to the traditional crossin...
Markus Chimani, Michael Jünger, Michael Schul...
TIT
2002
78views more  TIT 2002»
13 years 4 months ago
Improved upper bounds on sizes of codes
Let ( ) denote the maximum possible number of codewords in a binary code of length and minimum Hamming distance . For large values of , the best known upper bound, for fixed , is t...
Beniamin Mounits, Tuvi Etzion, Simon Litsyn