Results 21 to 30 of about 1,353,416 (150)
Entire choosability of near-outerplane graphs [PDF]
It is proved that if G is a plane embedding of a K4-minor-free graph with maximum degree Δ, then G is entirely 7-choosable if Δ≤4 and G is entirely (Δ+ 2)-choosable if Δ≥ 5; that is, if every vertex, edge and face of G is given a list of max{7,Δ+2 ...
Timothy J. Hetherington +2 more
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In this paper we give a simple algorithm to generate all connected rooted plane graphs with at most m edges. A rooted" plane graph is a plane graph with one designated (directed) edge on the outer face.
Katsuhisa Yamanaka, Shin-ichi Nakano
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Minimal unavoidable sets of cycles in plane graphs [PDF]
A set \(S\) of cycles is minimal unavoidable in a graph family \(\cal{G}\) if each graph \(G \in \cal{G}\) contains a cycle from \(S\) and, for each proper subset \(S^{\prime}\subset S\), there exists an infinite subfamily \(\cal{G}^{\prime}\subseteq\cal{
Tomáš Madaras, Martina Tamášová
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-shaped point set embeddings of high-degree plane graphs
A point set embedding of a given plane graph on a given point set on a plane is a drawing of where each vertex is drawn on a point in . An orthogonal point set embedding of a plane graph is a point set embedding of such that each edge is drawn as a ...
Shaheena Sultana, Md. Saidur Rahman
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Box-Rectangular Drawings of Planar Graphs
A plane graph is a planar graph with a fixed planar embedding in the plane. In a box- rectangular drawing of a plane graph, every vertex is drawn as a rectangle, called a box, each edge is drawn as either a horizontal line segment or a vertical line ...
Md. Manzurul Hasan +2 more
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Graphic Representation of a Dimensional Expansion of Triangular Fuzzy Number
We calculate Zadeh’s max-min composition operators for two 3-dimensional triangular fuzzy numbers. We prove that if the 3-dimensional result is limited to 2 dimensions, it is the same as the 2-dimensional result, which is shown as a graph.
Yong Sik Yun
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Facial rainbow edge-coloring of simple 3-connected plane graphs [PDF]
A facial rainbow edge-coloring of a plane graph \(G\) is an edge-coloring such that any two edges receive distinct colors if they lie on a common facial path of \(G\).
Július Czap
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The Neumann problem in graph Lipschitz domain in the plane
We study new aspects of the solvability of the classical Neumann boundary value problem in a graph Lipschitz domain in the plane. When the domain is the upper half-plane, the boundary data is assumed to belong to weighted Lebesgue or weighted Lorentz ...
Ortiz Caraballo, Carmen +2 more
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Generating All Triangulations of Plane Graphs
In this paper, we deal with the problem of generating all triangulations of plane graphs. We give an algorithm for generating all triangulations of a triconnected plane graph G of n vertices.
Mohammad Tanvir Parvez +2 more
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BgNet: Classification of benign and malignant tumors with MRI multi-plane attention learning
ObjectivesTo propose a deep learning-based classification framework, which can carry out patient-level benign and malignant tumors classification according to the patient’s multi-plane images and clinical information.MethodsA total of 430 cases of spinal
Hong Liu +17 more
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