The chromatic number of a graph G, denoted by χ(G), is the minimum number of colors such that G can be colored with these colors in such a way that no two adjacent vertices have the same color. A clique in a graph is a set of mutually adjacent vertices. The maximum size of a clique in a graph G is called the clique number of G. The Turán graph Tn(k) is a complete k-partite graph whose partition...

Let $G$ be a graph with vertex set $V(G)$ and edge set $E(G)$, and let $d_u$ denote the degree of vertex $u$ in $G$. The Randi'c index of $G$ is defined as${R}(G) =sum_{uvin E(G)} 1/sqrt{d_ud_v}.$In this paper, we investigate the relationships between Randi'cindex and several topological indices.

Zagreb University Hospital Center, School of Medicine, University of Zagreb, Clinical Department of Dermatology and Venereology, Zagreb, 1Čakovec General Hospital, Dermatovenereology Unit, Čakovec, 2Zagreb University Hospital Center, School of Medicine, University of Zagreb, Department of Nephrology, Arterial Hypertension, Dialysis and Transplantation and 3Zagreb University Hospital Center, Dep...

1Division of Neonatology, Department of Obstetrics and Gynecology, University Hospital Merkur, Zagreb, Croatia; 2Department of Pediatrics, University of Zagreb, School of Medicine, University Hospital Centre Zagreb, Zagreb, Croatia; 3Department of Pediatric Surgery, University of Zagreb, School of Medicine, University Hospital Centre, Zagreb, Croatia; 4Department of Anesthesiology, Mayo Clinic,...

The similarity of 608 molecular descriptors (including topological and geometrical indices) is measured using correlation coefficients. The computations are based on a library of 10946 diverse compounds. As a result, the second Zagreb index M2 and mwc, the molecular walk count of length 3, were found and proven to be affine dependent: mwc = 2M2.

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