Results 41 to 50 of about 147,831 (333)
Strongly Monotone Drawings of Planar Graphs [PDF]
, 2016 A straight-line drawing of a graph is a monotone drawing if for each pair of vertices there is a path which is monotonically increasing in some direction, and it is called a strongly monotone drawing if the direction of monotonicity is given by the ...
Felsner, Stefan +5 more
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On almost hypohamiltonian graphs [PDF]
Discrete Mathematics & Theoretical Computer Science, 2019 A graph $G$ is almost hypohamiltonian (a.h.) if $G$ is non-hamiltonian, there exists a vertex $w$ in $G$ such that $G - w$ is non-hamiltonian, and $G - v$ is hamiltonian for every vertex $v \ne w$ in $G$. The second author asked in [J.
Jan Goedgebeur, Carol T. Zamfirescu
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The structure and the list 3-dynamic coloring of outer-1-planar graphs [PDF]
Discrete Mathematics & Theoretical Computer Science, 2021 An outer-1-planar graph is a graph admitting a drawing in the plane so that all vertices appear in the outer region of the drawing and every edge crosses at most one other edge.
Yan Li, Xin Zhang
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Algorithmic Aspects of Some Variations of Clique Transversal and Clique Independent Sets on Graphs
Algorithms, 2021 This paper studies the maximum-clique independence problem and some variations of the clique transversal problem such as the {k}-clique, maximum-clique, minus clique, signed clique, and k-fold clique transversal problems from algorithmic aspects for k ...
Chuan-Min Lee
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On random planar graphs, the number of planar graphs and their triangulations
Journal of Combinatorial Theory, Series B, 2003 This paper investigates random planar graphs---the number of planar graphs and their triangulations. A random planar graph \(P_n\) is selected uniformly from \(\alpha_n\) where \(\alpha_n\) is the set of labelled planar graphs with \(\{1,2,3,\dots, n\}\) as vertex set. The following are the main results: (1) \(|\alpha_n|\leq n!(37.3)^{n+o(n)}\).
Deryk Osthus +2 more
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On An Extremal Problem In The Class Of Bipartite 1-Planar Graphs
Discussiones Mathematicae Graph Theory, 2016 A graph G = (V, E) is called 1-planar if it admits a drawing in the plane such that each edge is crossed at most once. In this paper, we study bipartite 1-planar graphs with prescribed numbers of vertices in partite sets.
Czap Július +2 more
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Every Planar Graph with the Distance of 5−-Cycles at Least 3 from Each Other Is DP-3-Colorable
Mathematics, 2020 DP-coloring was introduced by Dvořák and Postle [J. Comb. Theory Ser. B 2018, 129, 38–54]. In this paper, we prove that every planar graph in which the 5−-cycles are at distance of at least 3 from each other is DP-3-colorable, which improves the result ...
Yueying Zhao, Lianying Miao
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Degeneracies of Triangulated Graphs
Theory and Applications of GraphsA graph $G$ is $k$-degenerate if each subgraph has minimum degree at most $k$. The degeneracy\textbf{ }$D\left(G\right)$ is the smallest $k$ such that $G$ is $k$-degenerate.
Allan Bickle
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Compact Drawings of 1-Planar Graphs with Right-Angle Crossings and Few Bends
, 2018 We study the following classes of beyond-planar graphs: 1-planar, IC-planar, and NIC-planar graphs. These are the graphs that admit a 1-planar, IC-planar, and NIC-planar drawing, respectively.
C Bachmaier +13 more
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AxiomsWe define biequivalent planar graphs, which are a generalisation of the uniform polyhedron graphs, as planar graphs made out of two families of equivalent nodes.
Bernard Piette
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