Results 1 to 10 of about 232,773 (225)
On the prime graph of simple groups [PDF]
Bulletin of the Australian Mathematical Society, 2014 Let $G$ be a finite group, let $\pi(G)$ be the set of prime divisors of $|G|$ and let $\Gamma(G)$ be the prime graph of $G$. This graph has vertex set $\pi(G)$, and two vertices $r$ and $s$ are adjacent if and only if $G$ contains an element of order $rs$
Burness, Timothy C., Covato, Elisa
core +4 more sources
Prime power and prime product distance graphs [PDF]
Discrete Applied Mathematics, 2019 A graph $G$ is a $k$-prime product distance graph if its vertices can be labeled with distinct integers such that for any two adjacent vertices, the difference of their labels is the product of at most $k$ primes. A graph has prime product number $ppn(G)=k$ if it is a $k$-prime product graph but not a $(k-1)$-prime product graph.
Joshua D Laison
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ON FINITE PRIME DISTANCE GRAPHS
Indian Journal of Pure and Applied Mathematics, 2021 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
A Parthiban, G Samdanielthompson
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Finite prime distance graphs and 2-odd graphs
Discrete Mathematics, 2013 A graph $G$ is a prime distance graph (respectively, a 2-odd graph) if its vertices can be labeled with distinct integers such that for any two adjacent vertices, the difference of their labels is prime (either 2 or odd). We prove that trees, cycles, and bipartite graphs are prime distance graphs, and that Dutch windmill graphs and paper mill graphs ...
Joshua D Laison
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A characterization of the prime graphs of solvable groups
Journal of Algebra, 2015 20 pages, 5 ...
Thomas Michael Keller, Mark L Lewis
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Prime graphs and exponential composition of species
Journal of Combinatorial Theory - Series A, 2008 30 pages, 7 figures, 1 ...
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Prime labeling of graphs constructed from wheel graph
Heliyonالملخص إن التسمية الرئيسية للرسم البياني البسيط غير الموجه G هي تعيين تسميات أعداد صحيحة فريدة من المجموعة {1،2،....،|V \( G\)|} لكل رأس بحيث يكون لأي رأسين متجاورين في الرسم البياني تسميات أولية نسبيًا. يمكن أن تساعدنا دراسة العلامات الرئيسية في الرسوم البيانية على فهم بنية وخصائص الرسوم البيانية والعلامات الرئيسية لها تطبيقات محتملة في التشفير وأمن ...
Baha' Abughazaleh, Omar A AbuGhneim
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Birecognition of prime graphs, and minimal prime graphs
Discrete Mathematics, Algorithms and Applications, 2021 Given a graph [Formula: see text], a subset [Formula: see text] of [Formula: see text] is a module of [Formula: see text] if for each [Formula: see text], [Formula: see text] is adjacent to all the elements of [Formula: see text] or to none of them.
Houmem Belkhechine +2 more
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On Minimal Prime Graphs and Posets [PDF]
Order, 2009 We show that there are four infinite prime graphs such that every infinite prime graph with no infinite clique embeds one of these graphs. We derive a similar result for infinite prime posets with no infinite chain or no infinite antichain.
Pouzet, Maurice, Zaguia, Imed
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Discrete Mathematics, 2022 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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