نتایج جستجو برای: resistance distance (in graph)
تعداد نتایج: 17088776 فیلتر نتایج به سال:
let $g$ be a connected graph with vertex set $v(g)$. the degree resistance distance of $g$ is defined as $d_r(g) = sum_{{u,v} subseteq v(g)} [d(u)+d(v)] r(u,v)$, where $d(u)$ is the degree of vertex $u$, and $r(u,v)$ denotes the resistance distance between $u$ and $v$. in this paper, we characterize $n$-vertex unicyclic graphs having minimum and second minimum degree resista...
the degree kirchhoff index of a connected graph $g$ is defined as the sum of the terms $d_i,d_j,r_{ij}$ over all pairs of vertices, where $d_i$ is the degree of the $i$-th vertex, and $r_{ij}$ the resistance distance between the $i$-th and $j$-th vertex of $g$. bounds for the degree kirchhoff index of the line and para-line graphs are determined. the special case of regular grap...
the $k$-th semi total point graph $r^k(g)$ of a graph $g$, is a graph obtained from $g$ by adding $k$ vertices corresponding to each edge and connecting them to endpoint of edge considered. in this paper, we obtain formulae for the resistance distance and kirchhoff index of $r^k(g)$.
the wiener index $w(g)$ of a connected graph $g$ is defined as $w(g)=sum_{u,vin v(g)}d_g(u,v)$ where $d_g(u,v)$ is the distance between the vertices $u$ and $v$ of $g$. for $ssubseteq v(g)$, the {it steiner distance/} $d(s)$ of the vertices of $s$ is the minimum size of a connected subgraph of $g$ whose vertex set is $s$. the {it $k$-th steiner wiener index/} $sw_k(g)$ of $g$ ...
a major concern in the last few years has been the fact that the cultural centers are keeping distance with what they have been established for and instead of reproducing the hegemony, they have turned into a place for resistance and reproduction of resistance against hegemony. because the cultural centers, as urban public spaces in the last two decades, have been the subject of ideological dis...
hansen et. al., using the autographix software package, conjectured that the szeged index $sz(g)$ and the wiener index $w(g)$ of a connected bipartite graph $g$ with $n geq 4$ vertices and $m geq n$ edges, obeys the relation $sz(g)-w(g) geq 4n-8$. moreover, this bound would be the best possible. this paper offers a proof to this conjecture.
let $g$ be an $(n,m)$-graph. we say that $g$ has property $(ast)$if for every pair of its adjacent vertices $x$ and $y$, thereexists a vertex $z$, such that $z$ is not adjacentto either $x$ or $y$. if the graph $g$ has property $(ast)$, thenits complement $overline g$ is connected, has diameter 2, and itswiener index is equal to $binom{n}{2}+m$, i.e., the wiener indexis insensitive of any other...
the vertex-edge wiener index of a simple connected graph g is defined as the sum of distances between vertices and edges of g. two possible distances d_1(u,e|g) and d_2(u,e|g) between a vertex u and an edge e of g were considered in the literature and according to them, the corresponding vertex-edge wiener indices w_{ve_1}(g) and w_{ve_2}(g) were introduced. in this paper, we present exact form...
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in this paper, we first collect the earlier results about some graph operations and then wepresent applications of these results in working with chemical graphs.
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