Results 111 to 120 of about 850,474 (224)
Journal of Computational Geometry, 2016 We define strict confluent drawing, a form of confluent drawing in which the existence of an edge is indicated by the presence of a smooth path through a system of arcs and junctions (without crossings), and in which such a path, if it exists, must be ...
David Eppstein +5 more
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A generalization of outerplanar graphs [PDF]
Časopis pro pěstování matematiky, 1988 A planar graph is said to be a generalized outerplanar graph if it has an embedding in the plane in which every edge is incident to a vertex laying on the boundary of the outer face. The author presents a characterization of generalized outerplanar graphs by means of a set of exactly 12 forbidden subgraphs (up to homeomorphism).
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Special Issue Dedicated to the 16th International Symposium on Parameterized and Exact Computation. [PDF]
Algorithmica, 2022 Golovach PA, Zehavi M.
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Nilpotent graphs with crosscap at most two
AKCE International Journal of Graphs and Combinatorics, 2018 Let R be a commutative ring with identity. The nilpotent graph of R, denoted by Γ N ( R ) , is a graph with vertex set Z N ( R ) ∗ , and two vertices x and y are adjacent if and only if x y is nilpotent, where Z N ( R ) = { x ∈ R : x y is nilpotent, for ...
A. Mallika, R. Kala
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Maximal outerplanar graphs as chordal graphs, path-neighborhood graphs, and triangle graphs [PDF]
Maximal outerplanar graphs are characterized using three different classes of graphs. A path-neighborhood graph is a connected graph in which every neighborhood induces a path. The triangle graph $T(G)$ has the triangles of the graph $G$ as its vertices,
Laskar, R.C., Mulder, H.M., Novick, B.
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On Colorings of Squares of Outerplanar Graphs
, 2004 We study vertex colorings of the square $G^2$ of an outerplanar graph $G$. We find the optimal bound of the inductiveness, chromatic number and the clique number of $G^2$ as a function of the maximum degree $ $ of $G$ for all $ \in \nats$. As a bonus, we obtain the optimal bound of the choosability (or the list-chromatic number) of $G^2$ when $ \geq
Magnús M. Halldórsson, Geir Agnarsson
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Non-Preemptive Tree Packing. [PDF]
Algorithmica, 2023 Lendl S, Woeginger G, Wulf L.
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Outerplanar Coarseness of Planar Graphs [PDF]
Missouri Journal of Mathematical Sciences, 2016 The (outer) planar coarseness of a graph is the largest number of pairwise-edge-disjoint non-(outer)planar subgraphs. It is shown that the maximum outerplanar coarseness, over all $n$-vertex planar graphs, lies in the interval $\;\big [\lfloor (n-2)/3 \rfloor, \lfloor (n-2)/2 \rfloor \big ]$.
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Linear Algorithms for Isomorphism of Maximal Outerplanar Graphs [PDF]
, 1979 S. Mitchell, Terry Beyer, Whitney Jones
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Discussiones Mathematicae Graph Theory, 2013 A path-neighborhood graph is a connected graph in which every neighborhood induces a path. In the main results the 3-sun-free path-neighborhood graphs are characterized.
Laskar R.C., Mulder Henry Martyn
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