[PDF] Top 20 El Euro y la crisis económica en España (2008-2013)

... general Zagreb index of G as follows ( ) = ∑ ∈ ( ) ( ) ...all trees with the first three smallest and largest values of the first general Zagreb index, where α is an integer or a fraction 1/k for a ... See full document

... reformulated Zagreb index of graphs with connectivity at most k and characterized the corresponding extremal ...on Zagreb and reformulated Zagreb indices of simple ... See full document

... the extremal graphs with respect to the Zagreb ...to some other classes of graphs of chemical interest and emphasized that their "result leave open the question of the minimum values of ... See full document

... second Zagreb coindex is defined by the same modification of definition of the second Zagreb ...for some basic properties of Zagreb ...first Zagreb index and the first Zagreb ... See full document

... The Zagreb indices have been studied extensively due to their nu- merous applications in the place of existing chemical methods which need more time and increase the ...extended versions of the ... See full document

... , . . . , n. The rank of a graph G, denoted by r(G), is the rank of its adjacency matrix A(G). The multiplicity of the eigenvalue zero of A(G) is called the nullity of G and is denoted by η(G). It is obvious that η(G) = ... See full document

... characterize some property of the graph of a molecular is called a topological index for that ...found some applications in theoretical chemistry especially in QSPR/QSAR ... See full document

... Topological indices have some major classes but among these classes degree based topological indices have prominent role in chemical graph ...of some important degree based topological ... See full document

... In theoretical chemistry, the physico-chemical properties of chemical compounds are often modeled by means of a molecular graph based structure descriptors, which are also referred to as topological indices. In ... See full document

... Hamzeh, Extremal graphs with respect to the Zagreb coindices, MATCH Communications in Mathematical and in Computer Chemistry 65 (2011) 85- ... See full document

... modelling some chemical ...matrices, some giving important information about the molecules that are modelled by the corresponding ...[2], some formulae and recurrence rela- tions on spectral ... See full document

... The Wiener index [17] is the first reported distance based topological index defined as half sum of the distances between all the pairs of vertices in a molecular graph [10,16]. Topological indices are abundantly ... See full document

... A molecular graph is a graph such that its vertices correspond to the atoms and the edges to the bonds. A topological index is a numerical parameter mathematically derived from the graph structure. In chemical science, ... See full document

... The goal of this section is computing the truncated Zagreb indices of an infinite class of dendrimers. To do this, we use Theorems 2 and 3. The truncated Zagreb indices for other classes of ... See full document

... Recall that the inequality M n M m 1 /  2 / was subject of numerous studies, starting with [39]. It is often referred to as the Zagreb indices inequality. For details see the reviews [10,11], the recent ... See full document

... The Cartesian product of graphs G and H, denoted by G H, is the graph with vertex set V (G) V (H )={(a, v) : a ∈ V (G),v ∈ V (H)}, and (a, v) is adjacent to (b, w) whenever a = b and (v,w) ∈ E(H), or v = w and (a, b) ∈ E ... See full document

... characterize extremal phenylene chains with respect to the Harmonic index, first Zagreb index, sum- connectivity index, Geometric-Arithmetic index, Atom-Bond connectivity index and Symmetric Division ... See full document

... connection with ABC index [4] and Geometric-Arithmetic index [7]. In [9][10], Kulli discussed new multiplicative version of connectivity indices in nanotubes. In 2017, Kulli also proposed new arithmetic-geometric ... See full document

... recursive trees are an interesting and natural generalization of ordinary recursive trees and have a connection to mathematical ...multiplicative Zagreb indices in a randomly chosen bucket ... See full document

... multiplicative Zagreb index and the modified Narumi– Katayama index are the ...the extremal graphs are characterized with respect to modified Narumi–Katayama ... See full document