1. Corroborating a modification of the Wiener indexIvan Gutman, Janez Žerovnik, 2002, drugi znanstveni članki Opis: In a recent work [Chem. Phys. Lett. 333 (2001) 319-321] Nikolić, Trinajstić, and Randie put forward a novel modification ▫$^m$▫W of the Wiener index. We now show that ▫$^m$▫W possesses the basic properties required by a topological index to be acceptable as a measure of the extent of branching of the carbon-atom skeleton of the respective molecule (and therefore to be a structure-descriptor, potentially applicable in QSPR and QSAR studies). In particular, if ▫$T_n$▫ is any n-vertex tree, different from the n-vertex path ▫$P_n$▫ and the n-vertex star ▫$S_n$▫, then mw(Pn) < mW(Tn) < mW(Sn). We also show how the concept of the modified Wiener index can be extended to weighted molecular graphs.
Ključne besede: graph theory, distance, molecular graphs, modified Wiener index, weigted modified Wiener index, branching, chemical graph theory
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2. Computing the Szeged indexJanez Žerovnik, 1996, izvirni znanstveni članek Opis: We give an explicit algorithm for computing the Szeged index of a graph which runs in ▫$O(mn)$▫ time, where ▫$n$▫ is the number of nodes and ▫$m$▫ is the number of edges.
Ključne besede: mathematics, chemistry, chemical graph theory, molecular graphs, structural formulae, algorithms, topological index, Szeged index
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3. Gutman, Ivan(YU-KRASC); Toropov, Andrey A.; Toropova, Alla P.: The graph of atomic orbitals and its basic properties. I. Wiener index. (English summary). - MATCH Commun. Math. Comput. Chem. 53 (2005), no. 1, 215--224.Sandi Klavžar, 2005, recenzija, prikaz knjige, kritika Ključne besede: matematika, kemijska teorija grafov, razdalja, molekularni graf, mathematics, chemical graph theory, distance, molecular graph
Objavljeno v DKUM: 10.07.2015; Ogledov: 940; Prenosov: 50
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4. Gutman, Ivan; Miljković, Olga: Molecules with smallest connectivity indices. - Match No. 41 (2000), 57-70Sandi Klavžar, 2001, recenzija, prikaz knjige, kritika Ključne besede: matematika, kemijska teorija grafov, molekularni grafi, indeksi povezanosti, mathematics, chemical graph theory, molecular graphs, connectivity indices
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5. Jäntschi, Lorentz; Katona, Gabriel; Diudwe, Mircea V.: Modeling molecular properties by Cluj indices. - Match No. 41 (2000), 151-188Sandi Klavžar, 2001, recenzija, prikaz knjige, kritika Ključne besede: matematika, kemijska teorija grafov, molekularni grafi, indeksi, mathematics, chemical graph theory, molecular graphs, indices
Objavljeno v DKUM: 10.07.2015; Ogledov: 1157; Prenosov: 42
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