Geodesic
Randic type additive connectivity energy of a graph
Vladikavkazskij matematičeskij žurnal, Tome 21 (2019) no. 2, pp. 18-26

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The Randic type additive connectivity matrix of the graph $G$ of order $n$ and size $m$ is defined as $RA(G)=(R_{ij})$, where $R_{ij}=\sqrt{d_{i}}+\sqrt{d_{j}}$ if the vertices $v_i$ and $v_j$ are adjacent, and $R_{ij}=0$ if $v_i$ and $v_j$ are not adjacent, where $d_i$ and $d_j$ be the degrees of vertices $v_i$ and $v_j$ respectively. The purpose of this paper is to introduce and investigate the Randic type additive connectivity energy of a graph. In this paper, we obtain new inequalities involving the Randic type additive connectivity energy and presented upper and lower bounds for the Randic type additive connectivity energy of a graph. We also report results on Randic type additive connectivity energy of generalized complements of a graph. 
@article{VMJ_2019_21_2_a1,
     author = {K. V. Madhusudhan and P. Siva Kota Reddy and K. R. Rajanna},
     title = {Randic type additive connectivity energy of a graph},
     journal = {Vladikavkazskij matemati\v{c}eskij \v{z}urnal},
     pages = {18--26},
     publisher = {mathdoc},
     volume = {21},
     number = {2},
     year = {2019},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/VMJ_2019_21_2_a1/}
}
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K. V. Madhusudhan; P. Siva Kota Reddy; K. R. Rajanna. Randic type additive connectivity energy of a graph. Vladikavkazskij matematičeskij žurnal, Tome 21 (2019) no. 2, pp. 18-26. http://geodesic.mathdoc.fr/item/VMJ_2019_21_2_a1/