Name
Abstract | ||
|---|---|---|
Let R be a finite commutative ring with unity (1≠0) and let Z(R)⁎ be the set of non-zero zero-divisors of R. We associate a (simple) graph Γ(R) to R with vertices as elements of R and for distinct x,y∈R, the vertices x and y are adjacent if and only if xy = 0. Further, its signed zero-divisor graph is an ordered pair ΓΣ(R):=(Γ(R),σ), where for an edge ab, σ(ab) is ‘+’ if a∈Z(R)⁎ or b∈Z(R)⁎ and ‘−’ otherwise. This paper aims at gaining a deeper insight into signed zero-divisor graph by investigating properties like, balancing, clusterability, sign-compatibility and consistency. |
Year | DOI | Venue |
|---|---|---|
2017 | 10.1016/j.endm.2017.11.050 | Electronic Notes in Discrete Mathematics |
Keywords | DocType | Volume |
finite commutative ring,zero-divisors,signed graph,negation signed graph,balancing,clusterability,sign-compatible,consistent | Journal | 63 |
ISSN | Citations | PageRank |
1571-0653 | 0 | 0.34 |
References | Authors | |
0 | 3 | |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Deepa Sinha | 1 | 1 | 5.44 |
| Deepakshi Sharma | 2 | 1 | 1.72 |
| Bableen Kaur | 3 | 0 | 0.68 |