Results 121 to 130 of about 1,233,365 (217)

C 4 -free zero-divisor graphs

, 2013
. In this paper we give a characterization for all commutative rings with 1 whose zero-divisor graphs are C4 ...
Sayyed Heidar Jafari
core  

Determining Corresponding Artinian Rings to Zero-Divisor Graphs [PDF]

, 2016
We introduce Anderson\u27s and Livingston\u27s definition of a zero-divisor graph of a commutative ring. We then redefine their definition to include looped vertices, enabling us to visualize nilpotent elements.
Jones, Abigail Mary
core  

Harary and hyper-Wiener indices of some graph operations

Journal of Inequalities and Applications
In this paper, we obtain the Harary index and the hyper-Wiener index of the H-generalized join of graphs and the generalized corona product of graphs. As a consequence, we deduce some of the results in (Das et al. in J. Inequal. Appl. 2013:339, 2013) and
S. Balamoorthy, T. Kavaskar, K. Vinothkumar   +2 more
doaj   +1 more source

Laplacian Energy and Eccentricity Based Energy for Cross Monic Zero Divisor Graph Associated With Commutative Rings

مجلة بغداد للعلوم
For a commutative ring, a cross monic zero divisor graph is discussed, whose vertices are nonzero zero divisors of the commutative ring, then the two vertices x and y are adjacent if and only if xy = 0.
Sarathy Raja, Ravi Sankar Jeyaraj
doaj   +1 more source

Zero-divisor graphs of direct products of commutative rings

, 2006
We recall several results of zero divisor graphs of commutative rings. We then examine the preservation of diameter and girth of the zero divisor graph of direct products of commutative ...
Warfel, Joseph, Stickles, Joe, Axtell, Michael   +2 more
core  

Energy of zero-divisor graphs via distance-based fuzzy adjacency matrices

In this paper, we investigate the energy of zero-divisor graphs of finite commutative rings with unity using the distance-based fuzzy adjacency matrix. In view of this, first we characterize the rings whose zero-divisor graphs have energy zero and then ...
Rakesh Kumar, R.K. Bairwa, Pranjali
core   +1 more source

Planar Zero-Divisor Graphs

, 2006
Associated to every nonzero commutative ring with identity is a graph whose vertices are the nonzero zero-divisors, and such that two distinct vertices x and y are adjacent if and only if xy = 0.
Chapman, Jeremy M.
core  

A Study on the Structure of Ideal-Based Non-Zero Divisor Graphs Associated with <i>Z</i> _<i>n</i>. [PDF]

F1000Res
Kadem S, Abd Aubad A.
europepmc   +1 more source

Fourier-based chemometric resolution of the FOLFOX regimen through digital filtering with poly-metric sustainability assessment. [PDF]

Sci Rep
Maher HM, Mohamed SM, Hassan EM, El-Yazbi AF.   +3 more
europepmc   +1 more source

Harary index of the zero divisor graph of upper triangular matrices. [PDF]

Sci Rep
Alshanqiti O, Sharma S, Bhat VK.
europepmc   +1 more source