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» Which Crossing Number is it, Anyway
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GD
2009
Springer
13 years 10 months ago
Removing Independently Even Crossings
We show that cr(G) ≤ 2 iocr(G) 2 settling an open problem of Pach and T´oth [4, 1]. Moreover, iocr(G) = cr(G) if iocr(G) ≤ 2. 1 Crossing Numbers Pach and T´oth point out in ...
Michael J. Pelsmajer, Marcus Schaefer, Daniel Stef...
GD
2005
Springer
13 years 10 months ago
Odd Crossing Number Is Not Crossing Number
The crossing number of a graph is the minimum number of edge intersections in a plane drawing of a graph, where each intersection is counted separately. If instead we count the nu...
Michael J. Pelsmajer, Marcus Schaefer, Daniel Stef...
KRDB
1998
83views Database» more  KRDB 1998»
13 years 6 months ago
Semantic Query Optimisation and Rule Graphs
Previous researchers note the problem for semantic optimisation of database queries caused by its production of a large number of semantically equivalent alternative queries, from...
Jerome Robinson, Barry G. T. Lowden
APVIS
2004
13 years 6 months ago
Optimal Leaf Ordering for Two and a Half Dimensional Phylogenetic Tree Visualisation
Two and a half dimensional graph visualisation is the stacking of a set of related graphs into the third dimension to support visual comparison. A new aesthetic criterion is intro...
Tim Dwyer, Falk Schreiber