Results 41 to 50 of about 308,302 (304)

Exploring the relative importance of crossing number and crossing angle [PDF]

open access: yes, 2010
Recent research has indicated that human graph reading perfor-mance can be affected by the size of crossing angle. Crossing an-gle is closely related to another aesthetic criterion: number of edge crossings.
Huang, M (15585458), Huang, W (15585434)
core   +4 more sources

Note on the Pair-crossing Number and the Odd-crossing Number [PDF]

open access: yesDiscrete & Computational Geometry, 2007
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +3 more sources

Characterization of semientire graphs with crossing number 2 [PDF]

open access: yes, 2002
summary:The purpose of this paper is to give characterizations of graphs whose vertex-semientire graphs and edge-semientire graphs have crossing number 2.
Bano, J. K., Akka, D. G.
core   +1 more source

The Crossing Number of Cartesian Product of 5-Wheel with any Tree

open access: yesDiscussiones Mathematicae Graph Theory, 2021
In this paper, we establish the crossing number of join product of 5-wheel with n isolated vertices. In addition, the exact values for the crossing numbers of Cartesian products of the wheels of order at most five with any tree T are given.
Wang Yuxi, Huang Yuanqiu
doaj   +1 more source

On the Crossing Numbers of Cartesian Products of Wheels and Trees

open access: yesDiscussiones Mathematicae Graph Theory, 2017
Bokal developed an innovative method for finding the crossing numbers of Cartesian product of two arbitrarily large graphs. In this article, the crossing number of the join product of stars and cycles are given.
Klešč Marián   +2 more
doaj   +1 more source

On the Crossing Numbers of Cartesian Products of Stars and Graphs of Order Six

open access: yesDiscussiones Mathematicae Graph Theory, 2013
The crossing number cr(G) of a graph G is the minimal number of crossings over all drawings of G in the plane. According to their special structure, the class of Cartesian products of two graphs is one of few graph classes for which some exact values of ...
Klešč Marián, Schrötter Štefan
doaj   +1 more source

The Crossing Number of Join of a Special Disconnected 6-Vertex Graph with Cycle

open access: yesMathematics, 2023
The crossing number of a graph G, cr(G), is defined as the smallest possible number of edge-crossings in a drawing of G in the plane. There are almost no results concerning crossing number of join of a disconnected 6-vertex graph with cycle. The main aim
Zongpeng Ding, Xiaomei Qian
doaj   +1 more source

On the Maximum Crossing Number

open access: yesJournal of Graph Algorithms and Applications, 2018
Research about crossings is typically about minimization. In this paper, we consider maximizing the number of crossings over all possible ways to draw a given graph in the plane. Alpert et al. [Electron. J. Combin., 2009] conjectured that any graph has a convex straight-line drawing, that is, a drawing with vertices in convex position ...
Markus Chimani   +5 more
openaire   +4 more sources

The Crossing Numbers of Join Products of Paths and Cycles with Four Graphs of Order Five

open access: yesMathematics, 2021
The main aim of the paper is to establish the crossing numbers of the join products of the paths and the cycles on n vertices with a connected graph on five vertices isomorphic to the graph K1,1,3\e obtained by removing one edge e incident with some ...
Michal Staš
doaj   +1 more source

Parity Properties of Configurations

open access: yesMathematics, 2022
In the paper, the crossing number of the join product G*+Dn for the disconnected graph G* consisting of two components isomorphic to K2 and K3 is given, where Dn consists of n isolated vertices.
Michal Staš
doaj   +1 more source

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