Lea Milutinović1, Marijana Braš2,3, Veljko Đorđević3 1University of Zagreb School of Medicine, Student Society for Neuroscience, Zagreb, Croatia, 2Zagreb University Hospital Centre, Department of Psychological Medicine, Zagreb, Croatia, 3University of Zagreb School of Medicine, Centre for Palliative Medicine, Medical Ethics and Communication Skills, Zagreb, Croatia / 1Sveučilište u Zagrebu, Med...

The authors Miličević et al. introduced the reformulated Zagreb indices [1], which is a generalization of classical Zagreb indices of chemical graph theory. In this paper, we mainly consider the maximum and minimum for the first reformulated index of graphs with connectivity at most k. The corresponding extremal graphs are characterized.

The first and second zagreb indices of a graph G are defined as M1(G) = ∑ uv∈E(G) [deg(u) + deg(v)] (or equivalently ∑ u∈V (G) [deg(u)2] and M2(G) = ∑ uv∈E(G) [deg(u)deg(v)] respectively. In this paper, we have obtained the first and second zagreb indices of the generalized complementary prisms Gm+n,Gm,n,G m,m and Gm,m. MSC: 05C15, 05C38.

School of Medicine, University of Zagreb, Croatia (VI, MJ); School of Medicine, University of Zagreb, Department of Nephrology, Hypertension, Dialysis and Transplantation, University Hospital Center Zagreb, Croatia (ML, AV, SK, JK, TZ, VP, MZ, BJ); School of Medicine, University of Zagreb, Department of Metabolic Disorders, University Hospital Center Zagreb, Zagreb, Croatia (IP); and School of ...