On Multiple Zagreb Indices of Dendrimer Nanostars
نویسندگان
چکیده
منابع مشابه
Note on multiple Zagreb indices
The Zagreb indices are the oldest graph invariants used in mathematical chemistry to predict the chemical phenomena. In this paper we define the multiple versions of Zagreb indices based on degrees of vertices in a given graph and then we compute the first and second extremal graphs for them.
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Abstract The m-order connectivity index mχ(G) of an organic molecule whose molecular graph is G is the sum of the weights (di1di2 · · · dim+1) 1 2 , where di1di2 · · · dim+1 runs over all paths of length m in G and di denotes the degree of vertex vi. Dendrimer is a polimer molecule with a distinctive structure that resembles the crown of a tree. Dendrimers are key molecules in nanotechnology an...
متن کاملnote on multiple zagreb indices
the zagreb indices are the oldest graph invariants used in mathematical chemistry to predictthe chemical phenomena. in this paper we define the multiple versions of zagreb indicesbased on degrees of vertices in a given graph and then we compute the first and secondextremal graphs for them.
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Zagreb indices belong to better known and better researched topological indices. We investigate here their ability to discriminate among benzenoid graphs and arrive at some quite unexpected conclusions. Along the way we establish tight (and sometimes sharp) lower and upper bounds on various classes of benzenoids.
متن کاملSecond-Order and Third-Order Connectivity Indices of an Infinite Family of Dendrimer Nanostars
The m-order connectivity index mχ(G) of a molecular graph G is the sum of the weights (di1di2 · · · dim+1) 1 2 , where di1di2 · · · dim+1 runs over all paths of length m in G and di denotes the degree of vertex vi. Dendrimer is a polimer molecule with a distinctive structure that resembles the crown of a tree. In this paper we compute second-order and third-order connectivity indices of an infi...
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ژورنال
عنوان ژورنال: International Letters of Chemistry, Physics and Astronomy
سال: 2015
ISSN: 2299-3843
DOI: 10.18052/www.scipress.com/ilcpa.52.147