Results 61 to 70 of about 313,722 (173)

On the Absence of a Normal Nonabelian Sylow Subgroup [PDF]

, 2018
Let $G$ be a finite solvable group. We show that $G$ does not have a normal nonabelian Sylow $p$-subgroup when its prime character degree graph $\Delta(G)$ satisfies a technical hypothesis.Comment: 6 pages, 1 ...
Bissler, Mark W., Laubacher, Jacob, Lyons, Corey F.   +2 more
core   +2 more sources

On the Symmetry Graph of Prime Numbers

, 2021
See the abstract in the attached pdf.
openaire   +3 more sources

Prime labelings on a 3xn grid graph

Theory and Applications of Graphs
It is conjectured that the mxn grid graph has a prime labeling for all positive integers m and n. It is known that for any prime p and any integer n such that 1≤n≤p2, there exists a prime labeling on the pxn grid graph Pm x Pn. Also, it is known that the
Stephen J. Curran, Matt A. Ollis
doaj   +1 more source

Graphs Based on Hoop Algebras

Mathematics, 2019
In this paper, we investigate the graph structures on hoop algebras. First, by using the quasi-filters and r-prime (one-prime) filters, we construct an implicative graph and show that it is connected and under which conditions it is a star or tree.
Mona Aaly Kologani, Rajab Ali Borzooei, Hee Sik Kim   +2 more
doaj   +1 more source

The prime ideals intersection graph of a ring [PDF]

Commentationes Mathematicae Universitatis Carolinae, 2017
Summary: Let \(R\) be a commutative ring with unity and \(U(R)\) be the set of unit elements of \(R\). In this paper, we introduce and investigate some properties of a new kind of graph on the ring \(R\), namely, the prime ideals intersection graph of \(R\), denoted by \(G_{p}(R)\).
Nikmehr, M. J., Soleymanzadeh, B.
openaire   +1 more source

Characterization of rings with planar, toroidal or projective planar prime ideal sum graphs

AKCE International Journal of Graphs and Combinatorics
Let R be a commutative ring with unity. The prime ideal sum graph [Formula: see text] of the ring R is the simple undirected graph whose vertex set is the set of all nonzero proper ideals of R and two distinct vertices I and J are adjacent if and only if
Praveen Mathil, Barkha Baloda, Jitender Kumar, A. Somasundaram   +3 more
doaj   +1 more source

Prime Graphs of Polynomials and Power Series Over Noncommutative Rings

International Journal of Mathematics and Mathematical Sciences
The prime graph PGR of a ring R is a graph whose vertex set consists of all elements of R. Two elements x,y∈R are adjacent in the graph if and only if xRy=0 or yRx=0.
Walaa Obaidallah Alqarafi, Wafaa Mohammed Fakieh, Alaa Abdullah Altassan   +2 more
doaj   +1 more source

Applications on color (distance) signless laplacian energy of annihilator monic prime graph of commutative rings

Ain Shams Engineering Journal
In this study, we define the structure formation of the annihilator monic prime graph of commutative rings, whose distinct vertices X and J satisfies a condition annXJ≠annX⋃ann(J), graph is denoted by AMPG(Zn[x]/〈fx〉).
R. Sarathy, J. Ravi Sankar
doaj   +1 more source

Triangle-free graphs which are minimal for some nonstable 4-vertex subset

Arab Journal of Mathematical Sciences, 2015
In a graph G, a module is a vertex subset M such that every vertex outside M is adjacent to all or none of M. A graph G is prime if ϕ, the single-vertex sets, and V(G) are the only modules in G.
Mohammad Alzohairi
doaj   +1 more source

Effective Conversion of Non-Prime Graphs to Prime Graphs

International Journal of Analysis and Applications
A graph G is considered to have a prime labeling when each of its n vertices is assigned a unique label from the set {1, 2, 3, 4, ..., n}, ensuring that the labels of any two connected vertices are coprime. In the literature, many graph classes identified as prime graphs and non-prime graphs.
Karnam Gurunadhan Tharunraj, P. Ragukumar   +1 more
openaire   +1 more source