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» Degenerate crossing numbers
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ESA
2008
Springer
115views Algorithms» more  ESA 2008»
13 years 9 months ago
A New Approach to Exact Crossing Minimization
The crossing number problem is to find the smallest number of edge crossings necessary when drawing a graph into the plane. Eventhough the problem is NP-hard, we are interested in ...
Markus Chimani, Petra Mutzel, Immanuel M. Bomze
DCG
2010
101views more  DCG 2010»
13 years 6 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
VISUALIZATION
2005
IEEE
14 years 29 days ago
2D Asymmetric Tensor Analysis
Analysis of degenerate tensors is a fundamental step in finding the topological structures and separatrices in tensor fields. Previous work in this area have been limited to ana...
Xiaoqiang Zheng, Alex Pang
ISCAS
2003
IEEE
64views Hardware» more  ISCAS 2003»
14 years 20 days ago
Matching of low-noise amplifiers at high frequencies
Higher transistor transition frequencies, lower supply voltages and smaller physical dimensions are, nowadays, general trends in the semiconductor industry. Operating at lower sup...
Aleksandar Tasic, Wouter A. Serdijn, John R. Long
ENDM
2008
59views more  ENDM 2008»
13 years 7 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