Results 111 to 120 of about 1,056 (209)
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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Minimum rank of outerplanar graphs
, 2012 The problem of finding the minimum rank over all symmetric matrices corresponding to a given graph has grown in interest recently. It is well known that the minimum rank of any graph is bounded above by the clique cover number, the minimum number of ...
John Sinkovic +3 more
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From Planar via Outerplanar to Outerpath – Engineering NP-Hardness Constructions (Poster Abstract)
A typical question in graph drawing is to determine, for a given graph drawing style, the boundary between polynomial-time solvability and NP-hardness. For two examples from the area of drawing graphs with few slopes, we sharpen this boundary. We suggest
Zink, Johannes, Geis, Joshua
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The subgraph isomorphism problem for outerplanar graphs
, 1982 This paper deals with the subgraph isomorphism problem for outerplanar graphs (SUBOUTISOM). In general, since trees and forests are outerplanar, SUBOUTISOM is NP-complete.
SysŁ;o, Maciej M.
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Discrete Mathematics & Theoretical Computer ScienceNot every directed acyclic graph (DAG) whose underlying undirected graph is planar admits an upward planar drawing. We are interested in pushing the notion of upward drawings beyond planarity by considering upward $k$-planar drawings of DAGs in which the
Patrizio Angelini +10 more
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Non-Preemptive Tree Packing. [PDF]
Algorithmica, 2023 Lendl S, Woeginger G, Wulf L.
europepmc +1 more source
Mitochondrial networks through the lens of mathematics. [PDF]
Phys Biol, 2023 Lewis GR, Marshall WF.
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Equitable colorings of outerplanar graphs
Discrete Mathematics, 2002 A proper vertex coloring of a graph \(G\) is said to be equitable if the sizes of any two color classes differ by at most 1. It was conjectured by \textit{H. P. Yap} and \textit{Y. Zhang} [Bull. Inst. Math., Acad. Sin. 25, 143-149 (1997; Zbl 0882.05054)] that every outerplanar graph with maximum degree at most \(\Delta\) admits an equitable \(k ...
openaire +1 more source
Maximal outerplanar graphs as chordal graphs, path-neighborhood graphs, and triangle graphs
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,
Novick, B., Laskar, R.C., Mulder, H.M.
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Computation of the center and diameter of outerplanar graphs
, 1980 The center of a graph is the set of vertices with minimum eccentricity. An outerplanar graph is a planar segmentation of a polygon. We define a notion of edge eccentricities for the edges of an outerplanar graph. We present an algorithm which efficiently
Farley, Arthur M., Proskurowski, Andrzej
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