## UNIT GRAPH OF TYPE- 2

## UNIT GRAPH OF TYPE- 2

*B. Satyanarayana, D. Srivanasulu, M. Bhavanari*

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## Abstract

The unit graph of ring R was introduced in commutative rings by Vasan- tha Kandasamy[27]. In this short note, we introduce the concept namely \Unit graph of type-2" denoted by UG2(R) in associative rings R and announced a few important fundamental results. In section 3, we prove that the number of edges in the unit graph of type-2 of Zp is p - 3 / 2. In section 4, we prove that sum of the degrees of the vertices in UG2(R) is equal to (jU(R)jnumber of self units). Also we have included some examples.

## Keywords

Graph, Unit graph of a ring, Star graph.