Search Results - "Wismath, Stephen"
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Ortho-polygon Visibility Representations of Embedded Graphs
Published in Algorithmica (01-08-2018)“…An ortho-polygon visibility representation of an n -vertex embedded graph G (OPVR of G ) is an embedding-preserving drawing of G that maps every vertex to a…”
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Planar and Quasi-Planar Simultaneous Geometric Embedding
Published in Computer journal (01-11-2015)“…A simultaneous geometric embedding (SGE) of two planar graphs G... and G... with the same vertex set is a pair of straight-line planar drawings ... of G... and…”
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Monotone Simultaneous Paths Embeddings in $\mathbb{R}^d
Published in Discrete mathematics and theoretical computer science (05-01-2018)“…We study the following problem: Given $k$ paths that share the same vertex set, is there a simultaneous geometric embedding of these paths such that each…”
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Book embeddability of series-parallel digraphs
Published in Algorithmica (01-08-2006)Get full text
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Volume requirements of 3D upward drawings
Published in Discrete mathematics (08-04-2009)“…This paper studies the problem of drawing directed acyclic graphs in three dimensions in the straight-line grid model so that all directed edges are oriented…”
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Introducing fairness in network visualization
Published in Information sciences (01-02-2025)“…Motivated by the need for decision-making systems that avoid bias and discrimination, the concept of fairness recently gained traction in the broad field of…”
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Point-Set Embedding in Three Dimensions
Published in Journal of graph algorithms and applications (01-01-2015)“…Given a graph $G$ with $n$ vertices and $m$ edges, and a set $P$ of $n$ points on a three-dimensional integer grid, the 3D Point-Set Embeddability problem is…”
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On the Planar Split Thickness of Graphs
Published in Algorithmica (01-03-2018)“…Motivated by applications in graph drawing and information visualization, we examine the planar split thickness of a graph, that is, the smallest k such that…”
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Bar 1-Visibility Graphs and their relation to other Nearly Planar Graphs
Published in Journal of graph algorithms and applications (2014)Get full text
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Monotone Drawings of Graphs with Fixed Embedding
Published in Algorithmica (01-02-2015)“…A drawing of a graph is a monotone drawing if for every pair of vertices u and v there is a path drawn from u to v that is monotone in some direction. In this…”
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Packing Trees into 1-planar Graphs
Published in Journal of graph algorithms and applications (01-11-2021)“…We introduce and study the 1-planar packing problem: Given $k$ graphs with $n$ vertices $G_1, \dots, G_k$, find a 1-planar graph that contains the given graphs…”
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Guest Editors' Foreword
Published in Journal of graph algorithms and applications (2014)Get full text
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Universal Sets of n Points for One-bend Drawings of Planar Graphs with n Vertices
Published in Discrete & computational geometry (01-03-2010)“…This paper shows that any planar graph with n vertices can be point-set embedded with at most one bend per edge on a universal set of n points in the plane. An…”
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Straight-Line Drawings on Restricted Integer Grids in Two and Three Dimensions
Published in Journal of graph algorithms and applications (2003)Get full text
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Monotone Simultaneous Paths Embeddings in RdRd
Published in Discrete mathematics and theoretical computer science (01-01-2018)“…We study the following problem: Given kk paths that share the same vertex set, is there a simultaneous geometric embedding of these paths such that each…”
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Point-set embeddings of trees with given partial drawings
Published in Computational geometry : theory and applications (01-08-2009)“…Given a graph G with n vertices and a set S of n points in the plane, a point-set embedding of G on S is a planar drawing such that each vertex of G is mapped…”
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k-colored Point-set Embeddability of Outerplanar Graphs
Published in Journal of graph algorithms and applications (2008)Get full text
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New Bounds on the Local and Global Edge-length Ratio of Planar Graphs
Published 24-11-2023“…The \emph{local edge-length ratio} of a planar straight-line drawing $\Gamma$ is the largest ratio between the lengths of any pair of edges of $\Gamma$ that…”
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Editorial
Published in Computational geometry : theory and applications (01-05-2004)Get full text
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Matched drawability of graph pairs and of graph triples
Published in Computational geometry : theory and applications (01-08-2010)“…The contribution of this paper is twofold. It presents a new approach to the matched drawability problem of pairs of planar graphs and it provides four…”
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