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» New upper bounds on the decomposability of planar graphs
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WABI
2007
Springer
133views Bioinformatics» more  WABI 2007»
14 years 24 days 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
2008
92views more  JGT 2008»
13 years 6 months ago
A new upper bound for the bipartite Ramsey problem
We consider the following question: how large does n have to be to guarantee that in any two-colouring of the edges of the complete graph Kn,n there is a monochromatic Kk,k? In th...
David Conlon
DAM
2006
124views more  DAM 2006»
13 years 6 months ago
Coloring copoints of a planar point set
To a set of n points in the plane, one can associate a graph that has less than n2 vertices and has the property that k-cliques in the graph correspond vertex sets of convex k-gon...
Walter Morris
DM
2010
126views more  DM 2010»
13 years 6 months ago
Asymptotic connectivity of hyperbolic planar graphs
We investigate further the concept of asymptotic connectivity as defined previously by the first author. In particular, we compute an upper bound on the asymptotic connectivity of ...
Patrick Bahls, Michael R. Dipasquale
IPL
2010
111views more  IPL 2010»
13 years 5 months ago
Connecting face hitting sets in planar graphs
We show that any face hitting set of size n of a connected planar graph with a minimum degree of at least 3 is contained in a connected subgraph of size 5n − 6. Furthermore we s...
Pascal Schweitzer, Patrick Schweitzer