نتایج جستجو برای: non-connected graphs
تعداد نتایج: 1502947 فیلتر نتایج به سال:
let r be a non-commutative ring with unity. the commuting graph of $r$ denoted by $gamma(r)$, is a graph with a vertex set $rsetminus z(r)$ and two vertices $a$ and $b$ are adjacent if and only if $ab=ba$. in this paper, we investigate non-commutative rings with unity of order $p^n$ where $p$ is prime and $n in lbrace 4,5 rbrace$. it is shown that, $gamma(r)$ is the disjoint ...
let g=(v,e) be a graph with vertex set v and edge set e.for two vertices u,v of g ,the closed interval i[u,v] ,consists of u,v and all vertices lying in some u-v geodesic in g.if s is a set of vertices of g then i[s]is the union of all sets i[u,v]for u,v ? s. if i[s]=v(g) , then s is a geodetic set for g.the geodetic number g(g) is the minimum cardinality of geodetic set.the maximum cardinalit...
Let $R$ be a non-commutative ring with unity. The commuting graph of $R$ denoted by $Gamma(R)$, is a graph with a vertex set $Rsetminus Z(R)$ and two vertices $a$ and $b$ are adjacent if and only if $ab=ba$. In this paper, we investigate non-commutative rings with unity of order $p^n$ where $p$ is prime and $n in lbrace 4,5 rbrace$. It is shown that, $Gamma(R)$ is the disjoint ...
the concept of the bipartite divisor graph for integer subsets has been considered in [m. a. iranmanesh and c. e. praeger, bipartite divisor graphs for integer subsets, {em graphs combin.}, {bf 26} (2010) 95--105.]. in this paper, we will consider this graph for the set of character degrees of a finite group $g$ and obtain some properties of this graph. we show that if $g...
In this paper, we determine all of connected normal edge-transitive Cayley graphs on non-abelian groups with order $4p^2$, where $p$ is a prime number.
In this paper, we study matching integral graphs of small order. A graph is called matching integral if the zeros of its matching polynomial are all integers. Matching integral graphs were first studied by Akbari, Khalashi, etc. They characterized all traceable graphs which are matching integral. They studied matching integral regular graphs. Furthermore, it has been shown that there is no matc...
the concept of the bipartite divisor graph for integer subsets has been considered in [graph combinator., 26 (2010) 95--105.]. in this paper, we will consider this graph for the set of character degrees of a finite group $g$ and obtain some properties of this graph. we show that if $g$ is a solvable group, then the number of connected components of this graph is at most $2$ and if $g...
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