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Maximum first Zagreb index of orientations of unicyclic graphs with given matching number
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NSTL
Elsevier
Let D = (V, A) be a digraphs without isolated vertices. The first Zagreb index of a digraph D is definedas asummationover allarcs, M 1(D) = 1/2 Sigma(uv is an element of A)(d(u)(+) + d(v)(-)), where d(u)(+) (resp. d(u)(-)) denotes the out-degree (resp. in-degree) of the vertex u. In this paper, we give the maximal values and maximal digraphs of first Zagreb index over the set of all orientations of unicyclic graphs with n vertices and matching number m (2 <= m <= left pernpedicularn 2right pernpedicular). (C) 2022 Elsevier Inc. All rights reserved.
First zagreb indexOrientations of unicyclic graphsMatching numberMOLECULAR-ORBITALSBOUNDSSUM
NSTL
Elsevier
