scholarly journals On long cycles through four prescribed vertices of a polyhedral graph

2008 ◽  
Vol 28 (3) ◽  
pp. 441
Author(s):  
Jochen. Harant ◽  
Stanislav Jendrol' ◽  
H. Walther
Keyword(s):  
Polyhedral Graph ◽  
Long Cycles

scholarly journals A Discussion of a Cryptographical Scheme Based in F-Critical Sets of a Latin Square

Mathematics ◽  
2021 ◽  
Vol 9 (3) ◽  
pp. 285
Author(s):  
Laura M. Johnson ◽  
Stephanie Perkins
Keyword(s):  
Necessary Conditions ◽  
Latin Square ◽  
Latin Squares ◽  
Critical Sets ◽  
Long Cycles ◽  
The Given

This communication provides a discussion of a scheme originally proposed by Falcón in a paper entitled “Latin squares associated to principal autotopisms of long cycles. Applications in cryptography”. Falcón outlines the protocol for a cryptographical scheme that uses the F-critical sets associated with a particular Latin square to generate access levels for participants of the scheme. Accompanying the scheme is an example, which applies the protocol to a particular Latin square of order six. Exploration of the example itself, revealed some interesting observations about both the structure of the Latin square itself and the autotopisms associated with the Latin square. These observations give rise to necessary conditions for the generation of the F-critical sets associated with certain autotopisms of the given Latin square. The communication culminates with a table which outlines the various access levels for the given Latin square in accordance with the scheme detailed by Falcón.

Reversible Silicon Anodes with Long Cycles by Multifunctional Volumetric Buffer Layers

2021 ◽  
Vol 13 (3) ◽  
pp. 4093-4101
Author(s):  
Tiansheng Mu ◽  
Shuaifeng Lou ◽  
Nathaniel Graham Holmes ◽  
Changhong Wang ◽  
Mengxue He ◽  
...  
Keyword(s):  
Buffer Layers ◽  
Silicon Anodes ◽  
Long Cycles

Are There Long Cycles in Common Stock Returns?

1988 ◽  
Vol 55 (1) ◽  
pp. 141 ◽  
Author(s):  
Kursat Aydogan ◽  
G. Geoffrey Booth
Keyword(s):  
Stock Returns ◽  
Common Stock ◽  
Long Cycles

scholarly journals A Survey on Symmetry Group of Polyhedral Graphs

Symmetry ◽  
2020 ◽  
Vol 12 (3) ◽  
pp. 370 ◽  
Author(s):  
Modjtaba Ghorbani ◽  
Matthias Dehmer ◽  
Shaghayegh Rahmani ◽  
Mina Rajabi-Parsa
Keyword(s):  
Symmetry Group ◽  
Planar Graph ◽  
Polyhedral Graph

Every three-connected simple planar graph is a polyhedral graph and a cubic polyhedral graph with pentagonal and hexagonal faces is called as a classical fullerene. The aim of this paper is to survey some results about the symmetry group of cubic polyhedral graphs. We show that the order of symmetry group of such graphs divides 240.

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