Results 21 to 30 of about 307,259 (304)
Analogies between the Crossing Number and the Tangle Crossing Number [PDF]
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 straight-line drawings where the leaves of the two plane binary trees are on two parallel lines and only the matching edges can ...
Robin Anderson +10 more
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On the Degenerate Crossing Number [PDF]
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Eyal Ackerman, Rom Pinchasi
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On the crossing number for Kronecker product of a tripartite graph with path
The crossing number of a graph G, Cr(G) is the minimum number of edge crossings overall good drawings of G. Among the well-known four standard graph products namely Cartesian product, Kronecker product, strong product and lexicographic product, the one ...
N. Shanthini, J. Baskar Babujee
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Software Solution of the Algorithm of the Cyclic-Order Graph [PDF]
In this paper we describe by pseudo-code the ``Algorithm of the cyclic-order graph'', which we programmed in MATLAB 2016a and which is also possible to be executed in GNU Octave. We describe program's functionality and its use.
Štefan Berežný +2 more
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The crossing numbers of join products of paths with three graphs of order five [PDF]
The main aim of this paper is to give the crossing number of the join product \(G^\ast+P_n\) for the disconnected graph \(G^\ast\) of order five consisting of the complete graph \(K_4\) and one isolated vertex, where \(P_n\) is the path on \(n\) vertices.
Michal Staš, Mária Švecová
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Cyclic Permutations in Determining Crossing Numbers
The crossing number of a graph G is the minimum number of edge crossings over all drawings of G in the plane. Recently, the crossing numbers of join products of two graphs have been studied.
Klešč Marián, Staš Michal
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On the crossing number of join product of the discrete graph with special graphs of order five
The main aim of the paper is to give the crossing number of join product G+Dn for the disconnected graph G of order five consisting of the complete graph K4 and of one isolated vertex.
Michal Staš
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The Crossing Number of Hexagonal Graph H3,n in the Projective Plane
Thomassen described all (except finitely many) regular tilings of the torus S1 and the Klein bottle N2 into (3,6)-tilings, (4,4)-tilings and (6,3)-tilings.
Wang Jing +3 more
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Crossing Numbers and Cutwidths [PDF]
Summary: The crossing number of a graph \(G= (V, E)\), denoted by \(\text{cr}(G)\), is the smallest number of edge crossings in any drawing of \(G\) in the plane. We assume that the drawing is good, i.e., incident edges do not cross, two edges cross at most once and at most two edges cross in a point of the plane. \textit{F. T.
Hristo N. Djidjev, Imrich Vrto
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The Toroidal Crossing Number [PDF]
Studying the crossing number of the complete bipartite graph K4,n in ...
Ling, Tang +2 more
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