Refine your search
Collections
Journals
Year
A B C D E F G H I J K L M N O P Q R S T U V W X Y Z All
Solairaju, A.
- A New Generalisation of Sam-solai's Multivariate Cauchy Distribution of Type-I
Abstract Views :314 |
PDF Views:0
Authors
Affiliations
1 Associate Professor of Mathematics, Jamal Mohamed College, Tiruchirappalli, Tamilnadu, IN
2 Assistant Professor, Jamal Institute of Management, Jamal Mohamed College, Tiruchirappalli, South India, IN
3 Assistant Professor in Mathematics, V.M.K.V. Engineering College, Salem, Tamilnadu, IN
1 Associate Professor of Mathematics, Jamal Mohamed College, Tiruchirappalli, Tamilnadu, IN
2 Assistant Professor, Jamal Institute of Management, Jamal Mohamed College, Tiruchirappalli, South India, IN
3 Assistant Professor in Mathematics, V.M.K.V. Engineering College, Salem, Tamilnadu, IN
Source
Global Journal of Theoretical and Applied Mathematics Sciences, Vol 2, No 1 (2012), Pagination: 49-61Abstract
This paper proposed a new generalization of family of Sarmanov type Continuous multivariate symmetric probability distributions. More specifically the author visualizes a new generalization of Multivariate Cauchy distribution of Type-I from the univariate Cauchy distribution. Further, the Marginal, Conditional and Bi-variate case of this distribution was also discussed. Moreover, it is found that the Mean, Variance, product moments and generating functions of Sam's Multivariate and Bi-variate conditional Cauchy distribution are also undefined due to nature and non-convergence of the probability integral.Keywords
Sam-solai’s Multivariate Cauchy Distribution, Standard Cauchy Distribution, Cumulative Cauchy Distribution
References
- Arnold, B. C. and Beaver, R. J. (2000). The skew-Cauchy distribution. Statist. Probab. Lett. 49, 285-290.
- I.S. Gradshteyn and I.M. Ryzhik (2000), Table of Integrals, Series, and Products (sixth edition), Academic Press, San Diego, CA.
- A.P. Prudnikov, Y.A. Brychkov and O.I. Marichev (1986) , Integrals and Series (vol. 1, 2 and 3), Gordon and Breach Science Publishers, Amsterdam.
- Branco, M. D. and Dey, D. K. (2001). A general class of multivariate skewelliptical distributions. J. Multivariate Anal. 79, 99-113.
- Arnold, B. C. and Beaver, R. J. (2002). Skewed multivariate models related to hidden truncation and/or selective reporting. Test 11, 7-54.
- Genton, M. G. and Loper_do, N. (2002). Generalized skew-elliptical distributions and their quadratic forms. Institute of Statistics Mimeo Series #2539, to appear in Ann. Inst.Statist. Math.
- S. Nadarajah and S. Kotz, (2006) A truncated Cauchy distribution, Internat. J. Math. Ed. Sci. Tech.37, 605 – 607.
- A New Generalisation of Sam-solai's Multivariate Cauchy Distribution of Type-II
Abstract Views :314 |
PDF Views:0
Authors
Affiliations
1 Associate Professor of Mathematics, Jamal Mohamed College, Tiruchirappalli, Tamilnadu, IN
2 Assistant Professor, Jamal Institute of Management, Jamal Mohamed College, Tiruchirappalli, South India, IN
3 Assistant Professor in Mathematics, V.M.K.V. Engineering College, Salem, Tamilnadu, IN
1 Associate Professor of Mathematics, Jamal Mohamed College, Tiruchirappalli, Tamilnadu, IN
2 Assistant Professor, Jamal Institute of Management, Jamal Mohamed College, Tiruchirappalli, South India, IN
3 Assistant Professor in Mathematics, V.M.K.V. Engineering College, Salem, Tamilnadu, IN
Source
Global Journal of Theoretical and Applied Mathematics Sciences, Vol 2, No 1 (2012), Pagination: 63-75Abstract
This paper proposed a new generalization of family of Sarmanov type Continuous multivariate symmetric probability distributions. More specifically the author visualizes a new generalization of Multivariate Cauchy distribution of Type-II from the univariate Cauchy distribution. Further, the Marginal, Conditional and Bi-variate case of this distribution was also discussed. Moreover, it is found that the Mean, Variance, product moments and generating functions of Sam-Solai's Multivariate and Bi-variate conditional Cauchy distribution are also undefined due to nature and non-convergence of the probability integral.References
- Arnold, B. C. and Beaver, R. J. (2000). The skew-Cauchy distribution. Statist. Probab. Lett. 49, 285-290.
- I.S. Gradshteyn and I.M. Ryzhik, Table of Integrals, Series, and Products (sixth edition), Academic Press, San Diego, CA., 2000
- A.P. Prudnikov, Y.A. Brychkov and O.I. Marichev, Integrals and Series (vol. 1, 2 and 3), Gordon and Breach Science Publishers, Amsterdam, 1986
- Branco, M. D. and Dey, D. K. (2001). A general class of multivariate skewelliptical distributions. J. Multivariate Anal. 79, 99-113.
- Arnold, B. C. and Beaver, R. J. (2002). Skewed multivariate models related to hidden truncation and/or selective reporting. Test 11, 7-54.
- Genton, M. G. and Loper_do, N. (2002). Generalized skew-elliptical distributions and their quadratic forms. Institute of Statistics Mimeo Series #2539, to appear in Ann. Inst. Statist. Math.
- S. Nadarajah and S. Kotz, (2006) A truncated Cauchy distribution, Internat. J. Math. Ed. Sci. Tech.37,605–607.
- Gracefulness of a New Class from Copies of En-tree and N∇c3
Abstract Views :314 |
PDF Views:0
Authors
A. Solairaju
1,
S. Ambika
2
Affiliations
1 Associate Professor of Mathematics, Jamal Mohamed College, Trichy-20, IN
2 Assistant Professor of Mathematics, Government Arts College, Coimbatore-18, IN
1 Associate Professor of Mathematics, Jamal Mohamed College, Trichy-20, IN
2 Assistant Professor of Mathematics, Government Arts College, Coimbatore-18, IN
Source
International Journal of Computational and Applied Mathematics, Vol 7, No 2 (2012), Pagination: 161-166Abstract
Given a graph G with q edges, a labeling of the nodes with distinct integers from the set {0, 1, 2,…,q} induces an edge labeling where the label of an edge is the absolute difference of the labels of the two nodes incident to that edge. Such a labeling is graceful if the edge labels are distinct. A graph G is called graceful if there exist a graceful labeling of G. In this paper, the gracefulness of a new class, namely En-Tree (copies of E-Tree) and copies of C3 with one edge common are obtainedKeywords
Graceful Graph, E-tree, CycleReferences
- J. A. Gallian. A Dynamic Survey of Graph Labeling. The Electronic Journal of Combinatorics,(DS6), 2009. 12th edition.
- A. Solairaju and S. Ambika, A new class of graceful graphs, Antarctica. J. Math., 5(2)(2008), 65-76
- A. Solairaju and S. Ambika, Gracefulness of a new class from copies of stars, communicated to International Journal of computer application USA.
- A. Solairaju and S. Ambika, Gracefulness of a new class of mirror image of copies of nC3 and mirror image of copies of double nC3, communicated to Far East Journal of applied Mathematics in Pushpa publishing house.
- A. Solairaju and S. Ambika, Gracefulness of a unicycle graph from Copies of Stars on Cycles, communicated to Electronic Notes in discrete Mathematics in Elsevier Publication.
- Gracefulness of a New Class from Copies of Pn Kc4 and Pn kc4
Abstract Views :353 |
PDF Views:0
Authors
A. Solairaju
1,
S. Ambika
2
Affiliations
1 Associate Professor of Mathematics, Jamal Mohamed College, Trichy-20,, IN
2 Assistant Professor of Mathematics, Government Arts College, Coimbatore-18, IN
1 Associate Professor of Mathematics, Jamal Mohamed College, Trichy-20,, IN
2 Assistant Professor of Mathematics, Government Arts College, Coimbatore-18, IN
Source
International Journal of Computational and Applied Mathematics, Vol 7, No 2 (2012), Pagination: 167-171Abstract
Given a graph G with q edges, a labeling of the nodes with distinct integers from the set {0, 1, 2,…,q} induces an edge labeling where the label of an edge is the absolute difference of the labels of the two nodes incident to that edge. Such a labeling is graceful if the edge labels are distinct. A graph G is called graceful if there exist a graceful labeling of G. In this paper, the gracefulness of a new class, namely PnkC4 and Mirror image of PnkC4 are obtained.Keywords
Graceful Graph, Path, CycleReferences
- J. A. Gallian. A Dynamic Survey of Graph Labeling. The Electronic Journal of Combinatorics,(DS6), 2009. 12th edition.
- A. Solairaju and S. Ambika, A new class of graceful graphs, Antarctica. J. Math., 5(2)(2008), 65-76
- A. Solairaju and S. Ambika, Gracefulness of a new class from copies of stars, communicated to International Journal of computer application, USA.
- A. Solairaju and S. Ambika, Gracefulness of a new class of mirror image of copies of nC3 and mirror image of copies of double nC3, communicated.
- A. Solairaju and S. Ambika, Gracefulness of a unicycle graph from Copies of Stars on Cycles, communicated to Electronic Notes in discrete Mathematics in Elsevier Publication.
- Edge-Magic Labeling of Some Graphs
Abstract Views :305 |
PDF Views:0
Authors
Affiliations
1 Jamal Mohamed College, Tiruchy-620 020, IN
2 Periyar E.V.R. College, Tiruchy-620 023, Tamilnadu, IN
1 Jamal Mohamed College, Tiruchy-620 020, IN
2 Periyar E.V.R. College, Tiruchy-620 023, Tamilnadu, IN
Source
International Journal of Fuzzy Mathematics and Systems, Vol 2, No 1 (2012), Pagination: 47-51Abstract
An edge magic labeling f of a graph with p vertices and q edges is a bijection f: V ∪ E → {1, 2, …, p + q } such that there exists a constant s for any (x, y) in E satisfying f(x) + f(x, v) + f(y)= s. In this paper, the edge-magic labelings of ncm and some other graphs are discussed.Keywords
Edge-Magic, Super Edge-Magic Labeling, Merge GraphReferences
- Gallian, J. A., “A dynamic survey of Graph labeling”, The Electronic Journal of combinatorics ; Vol 14(2007);# DS6, 67-79.
- Harary, F., “Graph Theory”, Addision Wesley, New Delhi, 1972.
- Enomoto.H., Llado. Nagamigawa. T. and Ringel. R, “On super edge-magic graphs”, SUT J.math., 34(1998), 105-109.
- Solairaju.A. and Raziya Begam. R., “On some labelings of T3*Sn”, presented in the National Conference on Mathematics, Computing and Modeling, March 3- 4, 2007, Gandhigram Rural University.
- Solairaju.A. and Raziya Begam. R., “Some labelings of T4*Sn“, presented in the State Level Seminar on Applied Mathematics, February14, 2007, Bon Secours College for Women, Thanjavur.
- Intuitionistic Fuzzifications of R-Ideals in BCI-Algebras
Abstract Views :240 |
PDF Views:0
Authors
A. Solairaju
1,
C. Ragavan
2
Affiliations
1 Jamal Mohamed College, Trichy, Tamil Nadu, IN
2 Sri Vidya Mandir Arts & Science College, Uthangarai, Krishnagiri, IN
1 Jamal Mohamed College, Trichy, Tamil Nadu, IN
2 Sri Vidya Mandir Arts & Science College, Uthangarai, Krishnagiri, IN
Source
International Journal of Fuzzy Mathematics and Systems, Vol 2, No 1 (2012), Pagination: 53-63Abstract
The notion of intuitionist fuzzy R-ideals in BCI-algebras are introduced. Conditions for an intuitionist fuzzy ideal to be an intuitionist fuzzy R-ideal is provided. Using a collection of an ideal, intuitionist fuzzy R-ideals are established.
AMS Subject Classification: 06F35, 03G25
Keywords
R-ideal, Intuitionist Fuzzy Sub-Algebra, (Closed) Intuitionist Fuzzy Ideal, Intuitionist Fuzzy R-idealReferences
- K.T. Atanassov, Intuitionist fuzzy sets, Fuzzy sets and Systems, 20(1986), 87- 96
- K.T. Atanassov, New operations defined over the intuitionist fuzzy sets, Fuzzy sets and Systems, 61(1994), 137-142
- Kiyoshi iseki and T. Shotaro, An introduction to the theory of BCK-algebras, Math Japon, 23(1978), 1-26.
- Kiyoshi iseki and T. Shotaro, Ideal theory of BCK-algebras, Math. Japonica, 21(1976), 351-366.
- Jianming Zhan and Zhisong Tan, Characterizations of doubt fuzzy Hideals in BCK-algebras, Soochow Journal of Mathematics, 29(2003), 290-293.
- Y.B. Jun and K.H. Kim, Intuitionist fuzzy ideals of BCK-algebras, Internat J. Math and Mtha. Sci., 24(2000), 839-849.
- B. Satyanarayana and R. Durga Prasad, Product of intuitionist fuzzy BCKalgebras, Advances in Fuzzy Mathematics, 4(2009), 1-8.
- B. Satyanarayana and R. Durga Prasad, Direct product of finite intuitionistic fuzzy BCK-algebras, Global Journal of Pure and Applied Mathematics, 5(2009), 125-138
- L.A. Zadeh, Fuzzy sets, Information Control, 8(1965), 338-353. Received: January, 2010
- Edge Magic Combinations of Spiders
Abstract Views :302 |
PDF Views:0
Authors
A. Solairaju
1,
C. Ragavan
2
Affiliations
1 Jamal Mohamed College, Tiruchirappalli, Tamilnadu, IN
2 Sri Vidya Mandir Arts & Science College, Uthangarai, Krishnagiri, IN
1 Jamal Mohamed College, Tiruchirappalli, Tamilnadu, IN
2 Sri Vidya Mandir Arts & Science College, Uthangarai, Krishnagiri, IN
Source
International Journal of Fuzzy Mathematics and Systems, Vol 2, No 1 (2012), Pagination: 65-69Abstract
A total edge magic labeling of a graph with n vertices and m edges is a bijection f from VUE to the integers 1,2,……..,m + n such that there exists a constant s for any edge (u,v) in E satisfying f(u) + f(v) + f(u,v)=s. A graph is called an total edge magic graph if it has a total edge magic labeling. In this paper, we combine the spider graphs Sm,2 (m>0) with star graphs Sn (n>0) forming new graphs and show them to be total edge magic.
AMS Classification code: 05C78
Keywords
Graph Labeling, Antimagic, SpidersReferences
- Gallian, J.A., A dynamic survey of graph labeling. The Electronic Journal of Combinatorics, Vol. 14(2007), # DS6.
- Harary, F., Graph Theory, Addision Wesley, New Delhi,1972.
- Enomoto, H., Llado, Nagamigawa,T., and Ringel, R., On Super edge-magic graphs, SUT J. Math.,34(1998), pp. 105-109.
- Solairaju,A. and Raziya Begam,R., Edge-magic labeling of some graphs , presented in the National Conference on Applied Mathematics, March 22-23, 2007, Periyar E.V.R. College, Trichy.
- Super Edge Magic Combinations of Spiders
Abstract Views :176 |
PDF Views:0
Authors
Affiliations
1 Jamal Mohamed College, Tiruchirappalli, Tamilnadu, IN
2 Periyar E.V.R College, Tiruchy-620 023, Tamilnadu, IN
1 Jamal Mohamed College, Tiruchirappalli, Tamilnadu, IN
2 Periyar E.V.R College, Tiruchy-620 023, Tamilnadu, IN
Source
International Journal of Fuzzy Mathematics and Systems, Vol 2, No 1 (2012), Pagination: 71-74Abstract
A graph with p vertices and q edges is called total edge-magic if there is a bijection f: V∪E → {1,2,…,p + q} such that there exists a constant 's' for an y (u, v) in E satisfying f(u) + f(u.v) + f(v) = s. A total edge magic graph is called a super edge magic graph if f (V(G)) = { 1,2,……p}. In this paper, we combine the spider graphs Sm,2 (m>0) with stars Sn (n>1) forming new graphs and show them to be super edge magic.Keywords
Graph Labeling, Super Edge Magic, SpidersReferences
- Gallian,J.A., A dynamic survey of Graph labeling. The Electronic Journal of combinatorics ; Vol. 14(2007);# DS6.
- Harary, F., Graph Theory, Addision Wesley , New Delhi,1972.
- Enomoto, H., Llado, A.S., Nakamigawa, T. and Ringel, G., Super edge-magic graphs, SUT J. Math. Vol .34(1998), pp. 105-109.
- Wallis, W.D., Baskoro, E. T., Miller. M. and Slamin, Edge-magic total labelings, Australian J. Combin. 22(2000), pp. 177-190.
- Solairaju.A. and Raziya Begam. R., “On some labelings of T3*Sn”, presented in the National Conference on Mathematics, Computing and Modeling, March 3 -4, 2007, Gandhigram Rural University.
- Gracefulness of a New Class from Copies of kC4∇P2n and P2*nC3
Abstract Views :265 |
PDF Views:0
Authors
A. Solairaju
1,
S. Ambika
2
Affiliations
1 Jamal Mohamed College, Trichy-20, IN
2 Government Arts College, Coimbatore-18, IN
1 Jamal Mohamed College, Trichy-20, IN
2 Government Arts College, Coimbatore-18, IN
Source
International Journal of Fuzzy Mathematics and Systems, Vol 2, No 1 (2012), Pagination: 75-81Abstract
Given a graph G with q edges, a labeling of the nodes with distinct integers from the set {0, 1, 2,…,q} induces an edge labeling where the label of an edge is the absolute difference of the labels of the two nodes incident to that edge. Such a labeling is graceful if the edge labels are distinct. A graph G is called graceful if there exist a graceful labeling of G. In this paper, the gracefulness of a new class, namely kC4∇P2n and P2*nC3 are obtained.
AMS classification number: 2000 MSC: 05C78
Keywords
Graceful Graph, Path, Cycle, TP-TreeReferences
- J. A. Gallian. A Dynamic Survey of Graph Labeling. The Electronic Journal of Combinatorics,(DS6), 2009. 12th edition.
- A. Solairaju and S. Ambika, A new class of graceful graphs, Antarctica. J. Math., 5(2)(2008), 65-76
- A. Solairaju and S. Ambika, Gracefulness of a new class from copies of stars, communicated to International Journal of computer application, USA.
- A. Solairaju and S. Ambika, Gracefulness of a new class of mirror image of copies of nC3 and mirror image of copies of double nC3, communicated.
- A. Solairaju and S. Ambika, Gracefulness of a unicycle graph from Copies of Stars on Cycles, communicated to Electronic Notes in discrete Mathematics in Elsevier Publication.
- A. Solairaju and S. Ambika, Gracefulness of a new class of pn* kc4 and mirror image of pn* kc4 , communicated.
- A. Solairaju and S. Ambika, Gracefulness of a new class from Copies of En-Tree and n∇C3, communicated.
- Gracefulness of a New Class of Stars Merged with Trees
Abstract Views :255 |
PDF Views:0
Authors
A. Solairaju
1,
S. Ambika
2
Affiliations
1 Jamal Mohamed College, Trichy-20, IN
2 Government Arts College, Coimbatore-18, IN
1 Jamal Mohamed College, Trichy-20, IN
2 Government Arts College, Coimbatore-18, IN
Source
International Journal of Fuzzy Mathematics and Systems, Vol 2, No 1 (2012), Pagination: 83-94Abstract
Given a graph G with q edges, a labeling of the nodes with distinct integers from the set {0, 1, 2,…,q} induces an edge labeling where the label of an edge is the absolute difference of the labels of the two nodes incident to that edge. Such a labeling is graceful if the edge labels are distinct. A graph G is called graceful if there exist a graceful labeling of G. In this paper, the gracefulness of a new class of stars merged with trees is obtained.
AMS classification number: 2000 MSC: 05C78
Keywords
Graceful Graph, Path, Cycle, TreesReferences
- J. A. Gallian. A Dynamic Survey of Graph Labeling. The Electronic Journal of Combinatorics,(DS6), 2009. 12th edition.
- A. Solairaju and S. Ambika, A new class of graceful graphs, Antarctica. J. Math., 5(2)(2008), 65-76
- A. Solairaju and S. Ambika, Gracefulness of a new class from copies of stars, communicated to International Journal of computer application, USA.
- A. Solairaju and S. Ambika, Gracefulness of a new class of mirror image of copies of nC3 and mirror image of copies of double nC3, communicated.
- A. Solairaju and S. Ambika, Gracefulness of a unicycle graph from Copies of Stars on Cycles, communicated to Electronic Notes in discrete Mathematics in Elsevier Publication.
- A. Solairaju and S. Ambika, Gracefulness of a new class of pn* kc4 and mirror image of pn* kc4 , communicated.
- A. Solairaju and S. Ambika, Gracefulness of a new class from Copies of En-Tree and n∇C3, communicated.