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  1. Acta Mathematica Sinica, English Series
  2. Acta Mathematica Sinica, English Series : Volume 30
  3. Acta Mathematica Sinica, English Series : Volume 30, Issue 11, November 2014
  4. Joins of 1-planar graphs
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Acta Mathematica Sinica, English Series : Volume 32
Acta Mathematica Sinica, English Series : Volume 31
Acta Mathematica Sinica, English Series : Volume 30
Acta Mathematica Sinica, English Series : Volume 30, Issue 12, December 2014
Acta Mathematica Sinica, English Series : Volume 30, Issue 11, November 2014
On equivalence of simple closed curves in flat surfaces
The finite-dimensional decomposition property in non-Archimedean Banach spaces
Riemann problem for a geometrical optics system
On a certain sum-product estimate in fields of prime order
Joins of 1-planar graphs
Para-CR structures of codimension 2 on tangent bundles in Riemann-Finsler geometry
Robust sure independence screening for ultrahigh dimensional non-normal data
The exceptional set for sums of unlike powers of primes
Mixed volumes and measures of asymmetry
Musielak-Orlicz BMO-type spaces associated with generalized approximations to the identity
Double penalized variable selection procedure for partially linear models with longitudinal data
The harmonic Bergman kernels for punctured domains
Abstract differential operators generating fractional resolvent families
Acta Mathematica Sinica, English Series : Volume 30, Issue 10, October 2014
Acta Mathematica Sinica, English Series : Volume 30, Issue 9, September 2014
Acta Mathematica Sinica, English Series : Volume 30, Issue 8, August 2014
Acta Mathematica Sinica, English Series : Volume 30, Issue 7, July 2014
Acta Mathematica Sinica, English Series : Volume 30, Issue 6, June 2014
Acta Mathematica Sinica, English Series : Volume 30, Issue 5, May 2014
Acta Mathematica Sinica, English Series : Volume 30, Issue 4, April 2014
Acta Mathematica Sinica, English Series : Volume 30, Issue 3, March 2014
Acta Mathematica Sinica, English Series : Volume 30, Issue 2, February 2014
Acta Mathematica Sinica, English Series : Volume 30, Issue 1, January 2014
Acta Mathematica Sinica, English Series : Volume 29
Acta Mathematica Sinica, English Series : Volume 28
Acta Mathematica Sinica, English Series : Volume 27
Acta Mathematica Sinica, English Series : Volume 26
Acta Mathematica Sinica, English Series : Volume 25
Acta Mathematica Sinica, English Series : Volume 24
Acta Mathematica Sinica, English Series : Volume 23
Acta Mathematica Sinica, English Series : Volume 22
Acta Mathematica Sinica, English Series : Volume 21
Acta Mathematica Sinica, English Series : Volume 20
Acta Mathematica Sinica, English Series : Volume 19
Acta Mathematica Sinica, English Series : Volume 18
Acta Mathematica Sinica, English Series : Volume 17
Acta Mathematica Sinica, English Series : Volume 16
Acta Mathematica Sinica, English Series : Volume 15
Acta Mathematica Sinica, English Series : Volume 14
Acta Mathematica Sinica, English Series : Volume 13

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Joins of 1-planar graphs

Content Provider Springer Nature Link
Author Czap, Július Madaras, Tomáš Hudák, Dávid
Copyright Year 2014
Abstract A graph is called 1-planar if it admits a drawing in the plane such that each edge is crossed at most once. In this paper, we study 1-planar graph joins. We prove that the join G + H is 1-planar if and only if the pair [G, H] is subgraph-majorized by one of pairs [C 3 ∪ C 3, C 3], [C 4, C 4], [C 4,C 3], [K 2,1,1, P 3] in the case when both elements of the graph join have at least three vertices. If one element has at most two vertices, then we give several necessary/sufficient conditions for the bigger element.
Ending Page 1876
Page Count 10
Starting Page 1867
File Format PDF
ISSN 14398516
e-ISSN 14397617
Journal Acta Mathematica Sinica, English Series
Issue Number 11
Volume Number 30
Language English
Publisher Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
Publisher Date 2014-10-15
Publisher Place Heidelberg
Access Restriction One Nation One Subscription (ONOS)
Subject Keyword Planar graphs; geometric and topological aspects of graph theory Graph representations (geometric and intersection representations, etc.) Mathematics join product 1-Planar graph
Content Type Text
Resource Type Article
Subject Applied Mathematics
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