scholarly journals Dual graphs and modified Barlow-Bass resistance estimates for repeated barycentric subdivisions

2019 ◽  
Vol 12 (1) ◽  
pp. 27-42
Author(s):  
Daniel J. Kelleher ◽  
◽  
Hugo Panzo ◽  
Antoni Brzoska ◽  
Alexander Teplyaev ◽  
...  
Keyword(s):  

2013 ◽  
Vol 60-61 ◽  
pp. 31-41 ◽  
Author(s):  
Daniel Rypl ◽  
Bořek Patzák
Keyword(s):  


10.37236/2832 ◽  
2014 ◽  
Vol 21 (2) ◽  
Author(s):  
Henning Bruhn

We relate matroid connectivity to Tutte-connectivity in an infinite graph. Moreover, we show that the two cycle matroids, the finite-cycle matroid and the cycle matroid, in which also infinite cycles are taken into account, have the same connectivity function. As an application we re-prove that, also for infinite graphs, Tutte-connectivity is invariant under taking dual graphs.



2020 ◽  
Vol 31 (03) ◽  
pp. 2050018
Author(s):  
Shulim Kaliman ◽  
Frank Kutzschebauch ◽  
Matthias Leuenberger

Let [Formula: see text] be the subgroup of the group [Formula: see text] of holomorphic automorphisms of a normal affine algebraic surface [Formula: see text] generated by elements of flows associated with complete algebraic vector fields. Our main result is a classification of all normal affine algebraic surfaces [Formula: see text] quasi-homogeneous under [Formula: see text] in terms of the dual graphs of the boundaries [Formula: see text] of their SNC-completions [Formula: see text].





2014 ◽  
Vol 2014 ◽  
pp. 1-9 ◽  
Author(s):  
Noura Alshehri ◽  
Muhammad Akram

Graph theory has numerous applications in modern sciences and technology. Atanassov introduced the concept of intuitionistic fuzzy sets as a generalization of fuzzy sets. Intuitionistic fuzzy set has shown advantages in handling vagueness and uncertainty compared to fuzzy set. In this paper, we apply the concept of intuitionistic fuzzy sets to multigraphs, planar graphs, and dual graphs. We introduce the notions of intuitionistic fuzzy multigraphs, intuitionistic fuzzy planar graphs, and intuitionistic fuzzy dual graphs and investigate some of their interesting properties. We also study isomorphism between intuitionistic fuzzy planar graphs.



1992 ◽  
Vol 99 (2) ◽  
pp. 153-158 ◽  
Author(s):  
Brigitte Servatius ◽  
Peter R. Christopher


2010 ◽  
Vol 22 (3) ◽  
pp. 409-425 ◽  
Author(s):  
Marwan Al-Jubeh ◽  
Michael Hoffmann ◽  
Mashhood Ishaque ◽  
Diane L. Souvaine ◽  
Csaba D. Tóth


2014 ◽  
Vol 1 (1) ◽  
pp. 3-11 ◽  
Author(s):  
Carlos Lima Azevedo ◽  
João Lourenço Cardoso ◽  
Moshe Ben-Akiva


2015 ◽  
Vol 14 (11) ◽  
pp. 4057-4066 ◽  
Author(s):  
Avaz Naghipour ◽  
Mohammad Ali Jafarizadeh ◽  
Sedaghat Shahmorad


1990 ◽  
Vol 287 (1) ◽  
pp. 135-150 ◽  
Author(s):  
Dino J. Lorenzini
Keyword(s):  


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