Results 1 to 10 of about 990,454 (252)
On minimal prime extensions of a four-vertex graph in a prime graph [PDF]
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Chinh Hoang, Andreas Brandstädt
exaly +5 more sources
Birecognition of prime graphs, and minimal prime graphs
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
openaire +5 more sources
Prime power and prime product distance graphs [PDF]
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.
Yumi Kaneda +3 more
openaire +4 more sources
ON THE PRIME GRAPH OF SIMPLE GROUPS [PDF]
AbstractLet $G$ be a finite group, let ${\it\pi}(G)$ be the set of prime divisors of $|G|$ and let ${\rm\Gamma}(G)$ be the prime graph of $G$. This graph has vertex set ${\it\pi}(G)$, and two vertices $r$ and $s$ are adjacent if and only if $G$ contains an element of order $rs$.
Burness, Tim C, Covato, Elisa
openaire +3 more sources
On Minimal Prime Graphs and Posets [PDF]
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
openaire +2 more sources
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ON FINITE PRIME DISTANCE GRAPHS
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Parthiban, A. +2 more
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A distance measure for large graphs based on prime graphs [PDF]
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Lagraa, Sofiane +4 more
openaire +5 more sources
Recognition of prime graphs from a prime subgraph
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Pierre Ille, Roger Villemaire
openaire +4 more sources

