Results 71 to 80 of about 312,664 (251)

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

ON SD-PRIME CORDIAL GRAPHS [PDF]

International Journal of Pure and Apllied Mathematics, 2016
Let G = (V (G),E(G)) be a simple, finite and undirected graph of order n. Given a bijection f : V (G) → {1,...,n}, we associate 2 integers S = f(u) + f(v) and D = |f(u) − f(v)| with every edge uv in E(G). The labeling f induces an edge labeling f ' : E(G) → {0,1} such that for any edge uv in E(G), f ' (uv) = 1 if gcd(S,D) = 1, and f ' (uv) = 0 ...
G.-C. Lau, H.-H. Chu, N. Suhadak, F.-Y. Foo, H.-K. Ng   +4 more
openaire   +1 more source

CDK11 inhibition induces cytoplasmic p21WAF1 splice variant by p53 stabilisation and SF3B1 inactivation

Molecular Oncology, EarlyView.
CDK11 inhibition stabilises the tumour suppressor p53 and triggers the production of an alternative p21WAF1 splice variant p21L, through the inactivation of the spliceosomal protein SF3B1. Unlike the canonical p21WAF1 protein, p21L is localised in the cytoplasm and has reduced cell cycle‐blocking activity.
Radovan Krejcir, Lukasz Arcimowicz, Lucia Martinkova, Vaclav Hrabal, Filip Zavadil Kokas, Tomas Henek, Martina Kucerikova, Ondrej Bonczek, Pavlina Zatloukalova, Lenka Hernychova, Philip J. Coates, Borivoj Vojtesek, David P. Lane   +12 more
wiley   +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

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

Recognition of prime graphs from a prime subgraph

Discrete Mathematics, 2014
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ille, P., Villemaire, R.
openaire   +3 more sources

Liquid biopsy epigenetics: establishing a molecular profile based on cell‐free DNA

Molecular Oncology, EarlyView.
Cell‐free DNA (cfDNA) fragments in plasma from cancer patients carry epigenetic signatures reflecting their cells of origin. These epigenetic features include DNA methylation, nucleosome modifications, and variations in fragmentation. This review describes the biological properties of each feature and explores optimal strategies for harnessing cfDNA ...
Christoffer Trier Maansson, Anders Lade Nielsen, Boe Sandahl Sorensen   +2 more
wiley   +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

Structures and applications of graphs arising from congruences over moduli

AIMS Mathematics
For any positive integer $ \mathrm{n} $, let $ \mathrm{M_{p}} $ contain the prime numbers less than $ \mathrm{n} $. Assuming $ \mathrm{M_{p}} $ as the set of moduli, we draw a graph with the vertex set $ \{1, 2, 3, \cdots, \mathrm{n}\} $, and an edge ...
Sufyan Asif, Muhammad Khalid Mahmood , Amal S. Alali, Abdullah A. Zaagan   +3 more
doaj   +1 more source

Prime Graph and Its Structures

, 2023
This was an undergraduate research paper and Dr. Ernest Croot, who is listed as one of the authors of this paper was not notified beforehand and this paper was uploaded without him knowing.
Croot, Ernest, Jin, Patrick
openaire   +2 more sources