Refine your search
Collections
Co-Authors
Journals
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
Sandhya, S.S.
- Further Results on Geometric Mean Graphs
Abstract Views :505 |
PDF Views:2
Authors
Affiliations
1 Department of Mathematics, Manonmaniam Sundaranar University, Tirunelveli-627 012
2 Department of Mathematics, KG College of Arts and Sciences Coimbatore -641035.
3 Department of Mathematics, Sree Ayyappa College for Women Shunkankadai- 629 807 Kanyakumari District
1 Department of Mathematics, Manonmaniam Sundaranar University, Tirunelveli-627 012
2 Department of Mathematics, KG College of Arts and Sciences Coimbatore -641035.
3 Department of Mathematics, Sree Ayyappa College for Women Shunkankadai- 629 807 Kanyakumari District
Source
Global Journal of Theoretical and Applied Mathematics Sciences, Vol 3, No 1 (2013), Pagination: 23-30Abstract
In this paper we prove Alternate Triangular snake, Alternate Quadrilateral snake, and Polygonal chain are Geometric mean graphs and kite graph is also a Geometric mean graph. Also we find the Geometric mean labeling of Ln K1 and planar grid Pm×P3, Pm×P4 for m≥2.Keywords
Alternate Triangular Snake, Alternate Quadrilateral Snake, Polygonal Chain
References
- Harary,F., Graph Theory, Narosa Publishing House Reading, New Delhi, 1988.
- Sandhya,S.S., Somasundaram,S and Ponraj,R., Some Results on Harmonic Mean Graphs, International journal of contemporary Mathematical Sciences, 7(4) (2012), 197-208.
- Sandhya,S.S., Somasundaram,S and Ponraj,R., Some More Results on Harmonic Mean Graphs, Journal of Mathematics Research, 4(1) (2012), 21-29.
- Sandhya,S.S., Somasundaram,S and Ponraj,R., Harmonic Mean Labeling of some cycle related graphs. International Journal of Mathematical Analysis, 6(2012), 1997-2005.
- Somasundaram,S., Vidhyarani,P and Ponraj,R., Geometric Mean Labelings of Graphs. Bulletin of Pure and Applied Sciences, 30 E9@) (2011), 153- 160.
- Somasundaram,S., Vidhyarani,P and Sandhya,S.S., Some Results on Geometric Mean Graphs, International Journal of Mathematical Forum, 7(28) (2012), 1381-1391.
- Harmonic Mean Labeling for Some Special Graphs
Abstract Views :815 |
PDF Views:0
Authors
Affiliations
1 Department of Mathematics, Sree Ayyappa College for Women, Chunkankadai, Kanyakumari-629807, IN
2 Department of Mathematics, Manonmaniam Sundaranar University, Tirunelveli 627012, TamilNadu, IN
1 Department of Mathematics, Sree Ayyappa College for Women, Chunkankadai, Kanyakumari-629807, IN
2 Department of Mathematics, Manonmaniam Sundaranar University, Tirunelveli 627012, TamilNadu, IN
Source
International Journal of Mathematics Research, Vol 5, No 1 (2013), Pagination: 55-64Abstract
A graph G = (V, E) with p vertices and q edges is said to be a Harmonic mean graph if it is possible to label the vertices x∈V with distinct labels f(x) from 1, 2, ..., q+1 in such a way that when each edge e =uv is labeled with f(e = uv) = [2f(u)f(v)/f(u)f(v)] or [2f(u)f(v)/f(u)f(v)], then the edge labels are distinct. In this case f is called Harmonic mean labeling of G. In this paper we prove the Harmonic mean labeling behavior for some special graphs.Keywords
Graph, Harmonic Mean Graph, Path, Comb, Kite, Ladder, Crown.References
- Harary.F., 1988, Graph theory, Narosa Publishing House, New Delhi.
- Somasundaram.S., and Ponraj R., 2003, Mean labeling of graphs National Academy of Science Letters vol.26, p.210-213
- Somasundaram S., Ponraj R., and Sandhya S.S., Harmonic mean labeling of graphs communicated.
- Sandhya S.S.,Somasundaram S., and Ponraj R., Some Results on Harmonic Mean Graphs, International journal of Contemporary Mathematical Sciences 7(4) (2012), 197-208.
- Sandhya S.S.,Somasundaram S., and Ponraj R., Some More Results on Harmonic Mean Graphs Journal of Mathematics Research 4(1) (2012) 21- 29.
- Sandhya S.S.,Somasundaram S., and Ponraj R., Harmonic Mean Labeling of Some Cycle Related Graphs, International Journal of Mathematics Analysis vol.6, 2012. No.40 1997-2005.
- Some New Families of Skolem Geometric Mean Graphs
Abstract Views :349 |
PDF Views:0
Authors
Affiliations
1 Department of Mathematics, Manonmaniam Sundaranar University Tirunelveli, Tamilnadu-627 012, IN
2 Department of Mathematics, Sree Ayyappa College, Chunkankadai Kanyakumari Tamil Nadu-629 807, IN
3 Department of Mathematics, KG College of Arts and Science Coimbatore, Tamil Nadu-641 035, IN
1 Department of Mathematics, Manonmaniam Sundaranar University Tirunelveli, Tamilnadu-627 012, IN
2 Department of Mathematics, Sree Ayyappa College, Chunkankadai Kanyakumari Tamil Nadu-629 807, IN
3 Department of Mathematics, KG College of Arts and Science Coimbatore, Tamil Nadu-641 035, IN
Source
Global Journal of Theoretical and Applied Mathematics Sciences, Vol 2, No 2 (2012), Pagination: 121-127Abstract
A graph G=(V,E) with p vertices and q edges is said to be a skolem geometric mean graph if it is possible to label the vertices x∈V with distinct labels from 1,2 p in such a way that when each edge e= uv is labeled with f(e=uv)then the edge labels are distinct. In this paper we prove that Cm∪Pn, m≥3, n>1, Cm∪Cn, m, n≥3, nK3, nK3∪Pm, nK3∪Cm, crown and Dragon are skolem geometric mean graphs. Moreover we prove that square of a path, and wheels are not skolem Geometric mean graphs.Keywords
Graph, Geometric Mean Graph, Union of Graphs ,crown, Dragon, Square of a Path, WheelReferences
- Gallian. J.A, 2010, A dynamic survey of graph labeling. The electric journal of combinaterics 17, # DS6.
- Harary.F, 1988. Graph theory, Narasa publishing House Reading NewDelhi.
- Somasundaram S, and Ponraj.R, 2003, ‘Mean labeling of graphs’ National Academy science Letters vo.26, p2010-213.
- Somasundaram.S, and Ponraj.R, 2003, ‘Some results on Mean graphs’ pure and Applied Mathematika sciences vol.58 p29-35.
- Balaji.V. Ramesh D.S.T, and Subramanian.A, 2007, ‘Skolem mean labeling”, Bulletin of pure and Applied sciences (An International Research Journal of Mathematics and Statistics vol.26E (No.2) p245-248
- Somasundaram.S, Sandhya S.S, and Ponraj.R, ‘Harmonic mean labeling of graphs communicated to Journal of combinational mathematics and combinatorial computing.
- Sandhya S.S., Somasundaram S, and Ponraj R., 2012, ‘Some results on Harmonic mean Graphs’ to appear in International journal of Contemporary Mathematical sciences, vol.7, no.4
- Somasundaram S., and Sandhya S.S, 2011, ‘Skolem harmonic mean labeling of graphs’ to appear in Bulletin of pure and applied sciences vol.30E(2).
- Somasundaram S., and Sandhya S.S., ‘Some Results on skolem harmonic mean graphs’ to appear in International journal Mathematics Research, vol.3 No.6, p619-625.
- Somasundaram S, Ponraj R, and Vidhyarani P, 2011, ‘Geometric mean labeling of graphs’ to appear in Bulletin of pure and applied sciences.
- Somasundaram.S, Vidhyarani.P and Sandhya S.S., ‘Some results on Geometric mean grphas’ communicated to International Journal of Mathematical forum.