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DCG
2010
101views more  DCG 2010»
14 years 8 months ago
Unknot Diagrams Requiring a Quadratic Number of Reidemeister Moves to Untangle
Given any knot diagram E, we present a sequence of knot diagrams of the same knot type, for which the minimum number of Reidemeister moves required to pass to E is quadratic with ...
Joel Hass, Tahl Nowik
ENDM
2008
59views more  ENDM 2008»
14 years 9 months ago
Unexpected behaviour of crossing sequences
The nth crossing number of a graph G, denoted crn(G), is the minimum number of crossings in a drawing of G on an orientable surface of genus n. We prove that for every a > b &g...
Matt DeVos, Bojan Mohar, Robert Sámal
COMPGEOM
1996
ACM
15 years 1 months ago
On the Number of Arrangements of Pseudolines
Given a simple arrangementof n pseudolines in the Euclidean plane, associate with line i the list i of the lines crossing i in the order of the crossings on line i. i = ( i 1; i 2;...
Stefan Felsner
ATAL
2004
Springer
15 years 3 months ago
Preference Elicitation without Numbers
The development of autonomous multi-agent systems acting upon the interests of one or more users involves the elicitation of preferences of these users. In decision theory, models...
P. H. M. P. Roelofsma, Martijn C. Schut
WALCOM
2010
IEEE
255views Algorithms» more  WALCOM 2010»
15 years 4 months ago
A Global k-Level Crossing Reduction Algorithm
Abstract. Directed graphs are commonly drawn by the Sugiyama algorithm, where crossing reduction is a crucial phase. It is done by repeated one-sided 2-level crossing minimizations...
Christian Bachmaier, Franz-Josef Brandenburg, Wolf...