Let G = (V, E) be a graph with p vertices and q edges. A has product-set labeling if there exist an injective function f: V(G) → P (N) such that the induced edge f∗: P(N) is defined as f∗ (μν) f (μ) ∗ (ν) ∀μ, ν ∈ E(G).f {ab: (μ), b }. In this paper we investigate how works for zero-divisor line of graphs.

A semigroup is nilpotent of degree 3 if it has a zero, every product of 3 elements equals the zero, and some product of 2 elements is non-zero. It is part of the folklore of semigroup theory that almost all finite semigroups are nilpotent of degree 3. We give formulae for the number of nilpotent semigroups of degree 3 on a set with n ∈ N elements up to equality, isomorphism, and isomorphism or ...

The penetration speed of global Internet access has been extraordinary in the past decade. This phenomenon results in a near zero-time distribution of digital goods from companies to their customers. It also further reduces the already low “production” costs, where digital goods such as computer software and music songs are stored in CD/DVD, cassette tapes, floppy disks or other similar media, ...

We propose a novel power supply circuit that can make a standby power consumption of an infrared remote (IR) controlled product completely zero. Our proposal is a hybrid power supply circuit combining the energy harvesting and conventional power supply structure. The IR controlled product employing our proposal has no pass of electric current in the standby mode. It is activated by the electrom...

In [7], Serre proves that if G is a p-group which is not elementary abelian, then a product of Bocksteins of one dimensional classes is zero in the mod p cohomology algebra of G, provided that the product includes at least one nontrivial class from each line in H(G,Fp). For p = 2, this gives that (σG) = 0 where σG is the product of all nontrivial one dimensional classes in H(G,F2). In this note...

Waste, currently, is one of the biggest concerns in Indonesia. As solutions, innovation zero-waste product can help reducing waste because it be used repeatedly. A menstrual cup zero products that substitute conventional sanitary napkins. However, use cups Indonesia still taboo. The purpose this study to determine effect attitudes towards green on purchase intention based factors influence it. ...

L-zero-divisor graphs of L-commutative rings have been introduced and studied in [5]. Here we consider L-zero-divisor graphs of a finite direct product of L-commutative rings. Specifically, we look at the preservation, or lack thereof, of the diameter and girth of the L-zirodivisor graph of a L-ring when extending to a finite direct product of L-commutative rings.

A new construction of complex Hadamard matrices of composite order d = pq, with primes p, q, is presented which is based on pairs of mutually unbiased bases containing only product states. We illustrate the method for many product dimensions d < 100 by analytically deriving complex Hadamard matrices, both with zero and non-zero defect. In particular, we obtain at least 12 new isolated Butson-ty...