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International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 62 | Number 1 | Year 2018 | Article Id. IJMTT-V62P504 | DOI : https://doi.org/10.14445/22315373/IJMTT-V62P504

Sophisticated Coalition Strategies Distinctive Hallmarks of Pathos Vertex Semi Entire Block Graph


Sreejil K, Rajakumari N
Abstract

In this incredibly interesting paper studies hovers around the graphs whose vertex set is V(T) bt r along side the two vertices are adjacent if and only if they are adjacent vertices which lies on the blocks regions and adjacent blocks; and they are categorically named as pathos vertex semi entire block graph and denoted by P (H ) v b . We reveal results associated to these types of graphs and traverses deeply into absorbing wisdom to the brilliantly interpretative characterisations of graphs, whose pathos vertex semi entire block graph is planar, outer planar, Eulerian and Hamiltonian and there by embracing the emerging exegeses of the above theoretical convictions.

Keywords
Vertex set, block graphs, pendant pathos vertex semi entire graphs, Hamiltonian cycles
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

Citation :

Sreejil K, Rajakumari N, "Sophisticated Coalition Strategies Distinctive Hallmarks of Pathos Vertex Semi Entire Block Graph," International Journal of Mathematics Trends and Technology (IJMTT), vol. 62, no. 1, pp. 16-19, 2018. Crossref, https://doi.org/10.14445/22315373/IJMTT-V62P504

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