A new graph based on the semi-direct product of some monoids

被引：3

作者：

Karpuz, Eylem Guzel ^{[1
]}

Das, Kinkar Chandra ^{[2
]}

Cangul, Ismail Naci ^{[3
]}

Cevik, Ahmet Sinan ^{[4
]}

机构：

[1] Karamanoglu Mehmetbey Univ, Kamil Ozdag Sci Fac, Dept Math, TR-70100 Karaman, Turkey

[2] Sungkyunkwan Univ, Dept Math, Suwon 440746, South Korea

[3] Uludag Univ, Fac Arts & Sci, Dept Math, TR-16059 Bursa, Turkey

[4] Selcuk Univ, Dept Math, Fac Sci, TR-42075 Konya, Turkey

来源：

JOURNAL OF INEQUALITIES AND APPLICATIONS | 2013年

关键词：

graphs; semi-direct product; monoid presentation; ZERO-DIVISOR GRAPH; CAYLEY-GRAPHS; SEMIGROUPS; RING;

D O I：

10.1186/1029-242X-2013-118

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, firstly, we define a new graph based on the semi-direct product of a free abelian monoid of rank n by a finite cyclic monoid, and then discuss some graph properties on this new graph, namely diameter, maximum and minimum degrees, girth, degree sequence and irregularity index, domination number, chromatic number, clique number of Gamma (P-M). Since graph theoretical studies (including such above graph parameters) consist of some fixed point techniques, they have been applied in fields such as chemistry (in the meaning of atoms, molecules, energy etc.) and engineering (in the meaning of signal processing etc.), game theory and physics.

引用

页数：8

共 50 条

[31] Log-Sobolev inequalities for semi-direct product operators and applications
Piero d’Ancona
Patrick Maheux
Vittoria Pierfelice
Mathematische Zeitschrift, 2016, 283 : 103 - 131
[32] Symmetry classes of tensors and semi-direct product of finite abelian groups
Rodtes, Kijti
Chimla, Kunlathida
LINEAR & MULTILINEAR ALGEBRA, 2018, 66 (11): : 2191 - 2198
[33] Log-Sobolev inequalities for semi-direct product operators and applications
d'Ancona, Piero
Maheux, Patrick
Pierfelice, Vittoria
MATHEMATISCHE ZEITSCHRIFT, 2016, 283 (1-2) : 103 - 131
[34] A local limit theorem on the semi-direct product of R*(+) and R(d)
LePage, E
Peigne, M
ANNALES DE L INSTITUT HENRI POINCARE-PROBABILITES ET STATISTIQUES, 1997, 33 (02): : 223 - 252
[35] Load Balancing on Semi-direct Product and Hierarchical Star Interconnection Networks
Zhao, Chenggui
INTERNATIONAL JOINT CONFERENCE ON COMPUTATIONAL SCIENCES AND OPTIMIZATION, VOL 1, PROCEEDINGS, 2009, : 23 - 27
[36] SEMI-DIRECT DRIVE TO THE FORE
HARTLEY, J
INDUSTRIAL ROBOT, 1984, 11 (03): : 158 - 161
[37] Semi-direct gauge mediation
Seiberg, Nathan
Volansky, Tomer
Wecht, Brian
JOURNAL OF HIGH ENERGY PHYSICS, 2008, (11):
[38] A TENSOR PRODUCT APPROACH TO THE ABSTRACT PARTIAL FOURIER TRANSFORMS OVER SEMI-DIRECT PRODUCT GROUPS
Arefijammal, Ali Akbar
Neyshaburi, Fahimeh Arabyani
SAHAND COMMUNICATIONS IN MATHEMATICAL ANALYSIS, 2015, 2 (02): : 73 - 81
[39] On the Universal α-Central Extension of the Semi-direct Product of Hom-Leibniz Algebras
Casas, J. M.
Pacheco Rego, N.
BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, 2016, 39 (04) : 1579 - 1602
[40] Continuous Partial Gabor Transform for Semi-Direct Product of Locally Compact Groups
Arash Ghaani Farashahi
Bulletin of the Malaysian Mathematical Sciences Society, 2015, 38 : 779 - 803

← 1 2 3 4 5 →