Pathos Vertex Semientire Block Graph

Rajanna N E; Venkanagouda M Goudar

doi:https://doi.org/10.14445/22315373/IJMTT-V7P513

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 7 | Number 2 | Year 2014 | Article Id. IJMTT-V7P513 | DOI : https://doi.org/10.14445/22315373/IJMTT-V7P513

Pathos Vertex Semientire Block Graph

Rajanna N E , Venkanagouda M Goudar

Abstract

The pathos vertex semientire block graph denoted by Pvb(G) is the graph whose vertex set is V(T)U bi Ur and the two vertices are adjacent if and only if they are adjacent vertices, vertices lie on the blocks, vertices lie on the regions and the adjacent blocks. We study the characterization of graphs whose pathos vertex semientire block graph is planar, outer planar, Eulerian and Hamiltonian Keywords: Inner vertex number, Line graph, Outer planar, Vertex Semientire graph.

Keywords

pathos vertex semientire block graph denoted by Pvb(G)

References

[1] Haray F., Annals of New York, Academy of Sciences, (1977)175, 198.
[2] Harrary, F.,Graph Theory, Addison- Wesley Reading Mass, (1969)., p.72, 107.
[3] Kulli. V R., On minimally nonouterplanar graphs, proceedings of the Indian National Science Academy, (1975)., 41A.
[4] Kulli. V. R. and Akka. D. G., Journal mathematical Science, Vol. 14, No. 6, (1980)., P. 585- 588.
[5] Sedlacek J., Some properties of interchange graphs. The Graphs and the applications. Academic press, New York (1962).
[6] Venkanagouda. M. Goudar, “On Pathos vertex semientire graph of a tree", international journal of applied mathematical research, 1 (4), 666- 670 (2012).

Citation :

Rajanna N E , Venkanagouda M Goudar, "Pathos Vertex Semientire Block Graph," International Journal of Mathematics Trends and Technology (IJMTT), vol. 7, no. 2, pp. 103-105, 2014. Crossref, https://doi.org/10.14445/22315373/IJMTT-V7P513