Results 31 to 40 of about 975,712 (248)
Minimum Cycle Base of Graphs Identified by Two Planar Graphs [PDF]
, 2007 In this paper, we study the minimum cycle base of the planar graphs obtained from two 2-connected planar graphs by identifying an edge (or a cycle) of one graph with the corresponding edge (or cycle) of another, related with map geometries, i.e ...
Han, Ren, Dengju, Ma
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Planar L-Drawings of Bimodal Graphs
Journal of Graph Algorithms and Applications, 2022 In a planar L-drawing of a directed graph (digraph) each edge $e$ is represented as a polyline composed of a vertical segment starting at the tail of $e$ and a horizontal segment ending at the head of $e$. Distinct edges may overlap, but not cross.
Patrizio Angelini +3 more
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3-degenerate induced subgraph of a planar graph [PDF]
, 2021 A graph $G$ is $d$-degenerate if every non-null subgraph of $G$ has a vertex of degree at most $d$. We prove that every $n$-vertex planar graph has a $3$-degenerate induced subgraph of order at least $3n/4$.Comment: 28 pages, 12 ...
Oum, Sang-il +12 more
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On a Class of Planar Graphs with Straight-Line Grid Drawings on Linear Area
Journal of Graph Algorithms and Applications, 2009 A straight-line grid drawing of a planar graph G is a drawing of G on an integer grid such that each vertex is drawn as a grid point and each edge is drawn as a straight-line segment without edge crossings.
Md. Rezaul Karim, Md. Saidur Rahman
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The complexity of two graph orientation problems [PDF]
, 2012 This is the post-print version of the Article. The official published version can be accessed from the link below - Copyright @ 2012 ElsevierWe consider two orientation problems in a graph, namely the minimization of the sum of all the shortest path ...
Noble, SD +5 more
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Drawing Partially Embedded and Simultaneously Planar Graphs
Journal of Graph Algorithms and Applications, 2015 We investigate the problem of constructing planar drawings with few bends for two related problems, the partially embedded graph problem-to extend a straight-line planar drawing of a subgraph to a planar drawing of the whole graph-and the simultaneous ...
Timothy Chan +5 more
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Fitting Planar Graphs on Planar Maps [PDF]
Journal of Graph Algorithms and Applications, 2014 Graph and cartographic visualization have the common objective to provide intuitive understanding of some underlying data. We consider a problem that combines aspects of both by studying the problem of fitting planar graphs on planar maps. After providing an NP-hardness result for the general decision problem, we identify sufficient conditions so ...
Md. Jawaherul Alam +3 more
openaire +2 more sources
Planar Octilinear Drawings with One Bend Per Edge
Journal of Graph Algorithms and Applications, 2015 In octilinear drawings of planar graphs, every edge is drawn as a sequence of horizontal, vertical and diagonal (45°) line segments. In this paper, we study octilinear drawings of low edge complexity, i.e., with few bends per edge.
Michael Bekos +3 more
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On Longest Cycles in Essentially 4-Connected Planar Graphs
Discussiones Mathematicae Graph Theory, 2016 A planar 3-connected graph G is essentially 4-connected if, for any 3-separator S of G, one component of the graph obtained from G by removing S is a single vertex.
Fabrici Igor +2 more
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Computational Study on a PTAS for Planar Dominating Set Problem
Algorithms, 2013 The dominating set problem is a core NP-hard problem in combinatorial optimization and graph theory, and has many important applications. Baker [JACM 41,1994] introduces a k-outer planar graph decomposition-based framework for designing polynomial time ...
Qian-Ping Gu, Marjan Marzban
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