نتایج جستجو برای: centered crossing number

تعداد نتایج: 1234083  

Journal: :CoRR 2016
Saugata Basu Orit E. Raz

We prove an analog of the Szemerédi-Trotter theorem in the plane for definable curves and points in any o-minimal structure over an arbitrary real closed field R. One new ingredient in the proof is an extension of the well known crossing number inequality for graphs to the case of embeddings in any o-minimal structure over an arbitrary real closed field.

2016
Tobias Heed Jenny Backhaus Brigitte Röder Stephanie Badde

Different reference frames appear to be relevant for tactile spatial coding. When participants give temporal order judgments (TOJ) of two tactile stimuli, one on each hand, performance declines when the hands are crossed. This effect is attributed to a conflict between anatomical and external location codes: hand crossing places the anatomically right hand into the left side of external space. ...

Journal: :CoRR 2017
Robin Anderson Shuliang Bai Fidel Barrera-Cruz Éva Czabarka Giordano Da Lozzo Natalie L. F. Hobson Jephian C.-H. Lin Austin Mohr Heather C. Smith László A. Székely Hays Whitlatch

Tanglegrams are special graphs that consist of a pair of rooted binary trees with the same number of leaves, and a perfect matching between the two leaf-sets. These objects are of use in phylogenetics and are represented with straightline drawings where the leaves of the two plane binary trees are on two parallel lines and only the matching edges can cross. The tangle crossing number of a tangl...

Journal: :Discrete & Computational Geometry 2008
Michael J. Pelsmajer Marcus Schaefer Daniel Stefankovic

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 number of pairs of edges that intersect an odd number of times, we obtain the odd crossing number. We show that there is a graph for which these two concepts differ, answering a well-known open question on crossing numbe...

Journal: :Ars Mathematica Contemporanea 2009

Journal: :Journal of Knot Theory and Its Ramifications 2019

2004
R. Bruce Richter

We prove that the crossing number of C4 X C4 is 8.

2011
János Pach Géza Tóth

The monotone crossing number of G is defined as the smallest number of crossing points in a drawing of G in the plane, where every edge is represented by an x-monotone curve, that is, by a connected continuous arc with the property that every vertical line intersects it in at most one point. It is shown that this parameter can be strictly larger than the classical crossing number cr(G), but it ...

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