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Total and Connected Domination Numbers of Cayley Graphs on Zn
Tamizh Chelvam,Rani 장전수학회 2010 Advanced Studies in Contemporary Mathematics Vol.20 No.1
A Cayley graph is a graph constructed out of a group T and its gen-erating set A. In this paper, we attempt to nd the total and connected domination numbers of Cay(Zn,A), for some specied generating sets A of Zn.
Bounds for domination parameters in circulant graphs
T. Tamizh Chelvam,Sivagnanam Mutharasu 장전수학회 2012 Advanced Studies in Contemporary Mathematics Vol.22 No.4
A circulant graph is a Cayley graph constructed out of a finite cyclic group Γ and a generating set A of Γ. Sharp upper bounds are obtained for the dom-ination number, the total domination number and the connected domination number of circulant graphs and exact values for some of the parameters are determined in certain cases. Further, efficient dominating sets of some classes of circulant graphs are also obtained.
Thirugnanam Tamizh Chelvam,조용욱 한국수학교육학회 2006 純粹 및 應用數學 Vol.13 No.2
The notion of regularity in near-ring was generalized by the concept of b-regular and some characterizations of the same was obtained through the substruc-tures viz bi-ideals in near-rings. In this paper, we generalize further and introduce the notion of weakly b-regular near-rings and obtain a characterization of the same.
ON SIMILARITY INVARIANTS OF EP MATRICES
Rajian, C.,Chelvam, T. Tamizh The Youngnam Mathematical Society Korea 2007 East Asian mathematical journal Vol.23 No.2
We describe the class of invertible matrices T such that $TAT^{-1}$ is EPr, for a given EPr matrix A of order n. Necessary and sufficient condition is determined for $TAT^{-1}$ to be EP for an arbitrary matrix A of order n.
조용욱,T. Tamizh Chelvam,N. Meenakumari 한국수학교육학회 2006 純粹 및 應用數學 Vol.13 No.2
In this paper, we introduce the concept of P(r,m) Γ- near-ring and obtain some characterization of P(r,m) Γ-near-rings through regularity conditions.
조용욱,T. Tamizh Chelvam,S. Jayalakshmi 한국수학교육학회 2007 純粹 및 應用數學 Vol.14 No.3
The notion of bi-ideals in near-rings was effectively used to characterize the near-felds. Using this notion, various generalizations of regularity conditions have been studied. In this paper, we generalize further the notion of bi-ideals and introduce the notion of weak bi-ideals in near-rings and obtain various characterizations using the same in left self distributive near-rings.
COINCIDENCE POINT THEOREMS FOR SINGLE AND MULTI-VALUED CONTRACTIONS
Veerapandi, T.,Chelvam, T. Tamizh,Mariappan, M. The Youngnam Mathematical Society Korea 2006 East Asian mathematical journal Vol.22 No.2
In this paper two coincidence point theorems in complete metric spaces for two pairs of single and multi-valued mappings have been established.
SECTIONAL ANALYTICITY IN SEQUENCE SPACES
T. Balasubramanian,A.Pandiarani,T.Tamizh Chelvam 한국수학교육학회 2010 純粹 및 應用數學 Vol.17 No.2
The object of the present paper is to introduce ¤-dual and the concept of sectional analyticity (Abschinitts-anatytique or AA property) of an FK-space. The motivation for AA-property is that a sequence space having AK-property pos-sess AA-property.
Properties of Topological Ideals and Banach Category Theorem
Devi, V. Renuka,Sivaraj, D.,Chelvam, T. Tamizh Department of Mathematics 2005 Kyungpook mathematical journal Vol.45 No.2
An ideal space is ${\cal{I}}-resolvable$ if it has two disjoint ${\cal{I}}-dense$ subsets. We answer the question: If X is ${\cal{I}}-resolvable$, then is X (${\cal{I}}\;{\cup}\;{\cal{N}$)-resolvable?, posed by Dontchev, Ganster and Rose. We give three generalizations of the well known Banach Category Theorem and deduce the Banach category Theorem as a corollary. Characterizations of completely codense ideals and ${\cal{I}-locally$ closed sets are given and their properties are discussed.