Outerplanar crossing numbers of planar graphs (original) (raw)

On Graph Crossing Number and Edge Planarization

Anastasios Sidiropoulos

Proceedings of the Twenty-Second Annual ACM-SIAM Symposium on Discrete Algorithms, 2011

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On k-planar crossing numbers

Laszlo Szekely

Discrete Applied Mathematics, 2007

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One-and two-page crossing numbers for some types of graphs

Hongmei He

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Biplanar crossing numbers. II. Comparing crossing numbers and biplanar crossing numbers using the probabilistic method

Laszlo Szekely

Random Structures and Algorithms, 2008

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Biplanar Crossing Numbers I: A Survey of Results and Problems

Laszlo Szekely

Bolyai Society Mathematical Studies, 2006

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On the Bend-Number of Planar and Outerplanar Graphs

T. Ueckerdt

Lecture Notes in Computer Science, 2012

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An improvement of the crossing number bound

Bernard Montaron

Journal of Graph Theory, 2005

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On the k-planar local crossing number

Thao Do

Discrete Mathematics

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Crossing Number and Weighted Crossing Number of Near-Planar Graphs

Bojan Mohar

Algorithmica, 2009

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Crossing and Weighted Crossing Number of Near-Planar Graphs

Bojan Mohar

Lecture Notes in Computer Science, 2009

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Outerplanar Crossing Numbers of 3-Row Meshes, Halin Graphs and Complete p-Partite Graphs

Hongmei He

Lecture Notes in Computer Science, 2005

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A lower bound for crossing numbers of graphs with applications to Kn, Kp,q, and Q(d)

Paul Kainen

Journal of Combinatorial Theory, Series B, 1972

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Adding One Edge to Planar Graphs Makes Crossing Number and 1-Planarity Hard

Bojan Mohar

SIAM Journal on Computing, 2013

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A successful concept for measuring non-planarity of graphs: the crossing number

Laszlo Szekely

Discrete Mathematics, 2004

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Improved upper bounds on the crossing number

Ken-ichi Kawarabayashi

Proceedings of the twenty-fourth annual symposium on Computational geometry - SCG '08, 2008

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The crossing number of K5,n

Daniel Kleitman

Journal of Combinatorial Theory, 1970

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The Orchard crossing number of an abstract graph

David Garber

2003

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Outerplanar crossing numbers, the circular arrangement problem and isoperimetric functions

Laszlo Szekely

The electronic journal of combinatorics

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Crossing numbers of complete tripartite and

Florian Pfender

2014

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K-Crossing Critical Almost Planar Graphs

Winsy Weku

JURNAL ILMIAH SAINS

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A Special Crossing Number for Bipartite Graphs: A Research Problem

Mark Watkins

Annals of the New York Academy of Sciences, 1970

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Reappraising the distribution of the number of edge crossings of graphs on a sphere

Ramon Ferrer-i-Cancho

ArXiv, 2020

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On crossing numbers of geometric proximity graphs

David Peñaloza

Computational Geometry, 2011

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Graphs drawn with few crossings per edge

Geza Toth

Combinatorica, 1997

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Structure and generation of crossing-critical graphs

Bojan Mohar

2018

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On Crossing Numbers of Complete Tripartite and Balanced Complete Multipartite Graphs

Florian Pfender

Journal of Graph Theory, 2016

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On Computing the Distinguishing Numbers of Planar Graphs and Beyond: a Counting Approach

Christine Cheng

Siam Journal on Discrete Mathematics, 2007

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Crossing numbers of meshes

Laszlo Szekely

Lecture Notes in Computer Science, 1996

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Crossing numbers of complete tripartite and balanced complete multipartite graphs

Florian Pfender

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New Lower Bounds for the Number of (≤ k)-Edges and the Rectilinear Crossing Number of Kn

jesus garcia

Discrete & Computational Geometry, 2007

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Hamiltonian Paths and Cycles in Planar Graphs

Sudipta Kumar Biswas

Lecture Notes in Computer Science, 2012

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On the decay of crossing numbers

Jacob Fox

Journal of Combinatorial Theory, Series B, 2008

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