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.