## THE SEMI-IMAGE NEIGHBOURHOOD BLOCK GRAPH OF A GRAPH

V. R. KULLI

Department of Mathematics, Gulbarga University, Gulbarga-585106, Karnataka, India.

K. M. NIRANJAN *

Department of Mathematics, UBDTCE, Davangere-577 004, Karnataka, India.

*Author to whom correspondence should be addressed.

### 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

#### 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

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