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Chromatic Number
Clique Number
Indexation
Sum of Squares
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The Zagreb indices of graphs with a given clique number
The Zagreb indices of graphs with a given clique number,10.1016/j.aml.2011.01.034,Applied Mathematics Letters,Kexiang Xu
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The Zagreb indices of graphs with a given clique number
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Citations: 1
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Kexiang Xu
For a (molecular) graph, the first Zagreb index M1 is equal to the
sum of squares
of the degrees of vertices, and the second Zagreb index M2 is equal to the sum of the products of the degrees of pairs of adjacent vertices. Let Wn,k be the set of connected nvertex graphs with
clique number
k. In this work we characterize the graphs from Wn,k with extremal (maximal and minimal) Zagreb indices, and determine the values of corresponding indices.
Journal:
Applied Mathematics Letters
, vol. 24, no. 6, pp. 10261030, 2011
DOI:
10.1016/j.aml.2011.01.034
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Citations
(1)
A general modeling of some vertexdegree based topological indices in benzenoid systems and phenylenes
Hanyuan Deng
,
Jianguang Yang
,
Fangli Xia
Journal:
Computers & Mathematics With Applications  COMPUT MATH APPL
, vol. 61, no. 10, pp. 30173023, 2011