# THE SEMI-IMAGE NEIGHBOURHOOD BLOCK GRAPH OF A GRAPH

## Main Article Content

## Abstract

Let *G = (V,)* be a simple connected undirected graph with vertex set and edge set . The advent of graph theoryhas played a prominent role in wide variety of engineering applications and optimizes its use in many applications. In this paper, we introduce the concept of the semi-image neighborhood block graph. We characterize graphs, whose semi-image neighbourhood block graphs are planar, outerplanar.

Keywords:

Semi-image neighbourhood, block, planar, outerplanar

## Article Details

How to Cite

*Asian Journal of Mathematics and Computer Research*,

*27*(2), 36-41. Retrieved from https://ikprress.org/index.php/AJOMCOR/article/view/5151

Section

Original Research Article

## References

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Kulli VR, Biradar MS. The point block graphs and crossing numbers. Acta Ciencia Indica. 2007;33(2):637-640.

Kulli VR, Biradar MS. The line splitting graph of a graph. Acta Ciencia Indica. 2002;XXVIIIM(3):435.

Kulli VR, Niranjan KM. The semi-splitting block graph of a graph. Journal of Scientific Research. 2010;2(3):485-488.

Kulli VR, Niranjan KM. On minimally nonouterplanarity of the semi-total (point) graph of a graph. J. Sci. Res. 2009;1(3):551-557.

Kulli VR, Warad NS. On the total closed neighbourhood graph of a graph. J. Discrete Mathematical Sciences and Cryptography. 2001;4:109-114.

Niranjan KM, Nagaraja P, Lokesh V. Semi-image neighborhood block graphs with crossing numbers. Journal of Scientific Research. 2013;5(2):295-299.

Muddebihal MH, Usha P, Milind SC. Image neighbourhood graph of graph. The Mathematics Education. 2002;XXXVI(2).

Kulli VR. On minimally nonouterplanar graphs. Proc. Indian. Nat. Sci. Acad. 1975;41:275-280.

Kulli VR. The semitotal block graph and total-block graph of a graph. Indian J. Pure Appl. Math. 1976;7:625-630.

Biradar MS. Eulerianity of some graph valued functions. International Journal of Mathematics Trends and Technology. 2016;33(5):127-129.

Biradar MS, Kulli VR. Results on labeled path and its iterated line graphs. Intern. J. Fuzzy Mathematical Archive. 2016;10(2):125-129.

Biradar MS, Hiremath SS. The total blitact graph of a graph. Intern. J. Mathematical Archive. 2016;7(5):49-54.

Kulli VR. On full graphs. J. Comp. & Math. Sci. 2015;5(6):261-267.

Kulli VR. On the plick graph and the qlick graph of a graph. Research Journal. 1988;1:48-52.

Kulli VR, Akka DG. Traversability and planarity of semitotal block graphs. J Math. and Phy. Sci. 1978;12:177-178.

Kulli VR, Akka DG. Traversability and planarity of total block graphs. J. Mathematical and Physical Sciences. 1977;11:365-375.

Kulli VR, Akka DG. On semientire graphs. J. Math. and Phy. Sci. 1981;15:585-589.

Kulli VR, Akka DG. Characterization of minimally nonouterplanar graphs. J. Karnatak Univ. Sci. 1977;22:67-73.

Kulli VR, Annigeri NS. The ctree and total ctree of a graph. Vijnana Ganga. 1981;2:10-24.

Kulli VR, Basavanagoud B. On the quasivertex total graph of a graph. J. Karnatak University Sci. 1998;42:1-7.

Kulli VR, Basavanagoud B, Niranjan KM. Quasi-total graphs with crossing numbers. Journal of Scientific Research. 2010;2(2):257-263.

Kulli VR, Biradar MS. On eulerian blict graphs and blitact graphs. Journal of Computer and Mathematical Sciences. 2015;6(12):712-717.

Kulli VR, Biradar MS. The point block graph of a graph. Journal of Computer and Mathematical Sciences. 2014;5(5):476-481.

Kulli VR, Biradar MS. The middle blict graph of a graph. International Research Journal of Pure Algebra. 2015;5(7):111-117.

Kulli VR, Biradar MS. Planarity of the point block graph of a graph. Ultra Scientist. 2006;18:609-611.

Kulli VR, Biradar MS. The point block graphs and crossing numbers. Acta Ciencia Indica. 2007;33(2):637-640.

Kulli VR, Biradar MS. The line splitting graph of a graph. Acta Ciencia Indica. 2002;XXVIIIM(3):435.

Kulli VR, Niranjan KM. The semi-splitting block graph of a graph. Journal of Scientific Research. 2010;2(3):485-488.

Kulli VR, Niranjan KM. On minimally nonouterplanarity of the semi-total (point) graph of a graph. J. Sci. Res. 2009;1(3):551-557.

Kulli VR, Warad NS. On the total closed neighbourhood graph of a graph. J. Discrete Mathematical Sciences and Cryptography. 2001;4:109-114.

Niranjan KM, Nagaraja P, Lokesh V. Semi-image neighborhood block graphs with crossing numbers. Journal of Scientific Research. 2013;5(2):295-299.

Muddebihal MH, Usha P, Milind SC. Image neighbourhood graph of graph. The Mathematics Education. 2002;XXXVI(2).