نتایج جستجو برای: strongly multiplicative graph
تعداد نتایج: 423432 فیلتر نتایج به سال:
for a graph $g$ with edge set $e(g)$, the multiplicative second zagreb index of $g$ is defined as $pi_2(g)=pi_{uvin e(g)}[d_g(u)d_g(v)]$, where $d_g(v)$ is the degree of vertex $v$ in $g$. in this paper, we identify the eighth class of trees, with the first through eighth smallest multiplicative second zagreb indeces among all trees of order $ngeq 14$.
the second multiplicative zagreb coindex of a simple graph $g$ is defined as: $${overline{pi{}}}_2left(gright)=prod_{uvnotin{}e(g)}d_gleft(uright)d_gleft(vright),$$ where $d_gleft(uright)$ denotes the degree of the vertex $u$ of $g$. in this paper, we compare $overline{{pi}}_2$-index with some well-known graph invariants such as the wiener index, schultz index, eccentric co...
todeschini et al. have recently suggested to consider multiplicative variants of additive graphinvariants, which applied to the zagreb indices would lead to the multiplicative zagrebindices of a graph g, denoted by ( ) 1 g and ( ) 2 g , under the name first and secondmultiplicative zagreb index, respectively. these are define as ( )21 ( ) ( )v v gg g d vand ( ) ( ) ( )( )2 g d v d v gu...
In this note we give an upper bound for λ(n), the maximum number of edges in a strongly multiplicative graph of order n, which is sharper than the upper bound obtained by Beineke and Hegde [1].
The first multiplicative Zagreb index $Pi_1(G)$ is equal to the product of squares of the degree of the vertices and the second multiplicative Zagreb index $Pi_2(G)$ is equal to the product of the products of the degree of pairs of adjacent vertices of the underlying molecular graphs $G$. Also, the multiplicative sum Zagreb index $Pi_3(G)$ is equal to the product of the sum...
let $g$ be a connected graph. the multiplicative zagreb eccentricity indices of $g$ are defined respectively as ${bf pi}_1^*(g)=prod_{vin v(g)}varepsilon_g^2(v)$ and ${bf pi}_2^*(g)=prod_{uvin e(g)}varepsilon_g(u)varepsilon_g(v)$, where $varepsilon_g(v)$ is the eccentricity of vertex $v$ in graph $g$ and $varepsilon_g^2(v)=(varepsilon_g(v))^2$. in this paper, we present some bounds of the multi...
For any simple connected undirected graph, it is well known that the Kirchhoff and multiplicative degree-Kirchhoff indices can be computed using the Laplacian matrix. We show that the same is true for the additive degree-Kirchhoff index and give a compact Matlab program that computes all three Kirchhoffian indices with the Laplacian matrix as the only input.
the chromatic number of a graph g, denoted by χ(g), is the minimum number of colors such that g can be colored with these colors in such a way that no two adjacent vertices have the same color. a clique in a graph is a set of mutually adjacent vertices. the maximum size of a clique in a graph g is called the clique number of g. the turán graph tn(k) is a complete k-partite graph whose partition...
نمودار تعداد نتایج جستجو در هر سال
با کلیک روی نمودار نتایج را به سال انتشار فیلتر کنید