1. Lambert W function in mathematical models of intra-year pricing, storage and manipulation of perishable agricultural goodsTomislav Došlić, Biserka Kolarec, 2026, izvirni znanstveni članek Opis: Mathematical modelling has increasingly shifted towards computational and numerical methods, resulting in less emphasison exactly solvable models and closed-form analytical solutions. This study presents LambertWfunction solutions tomodels of the pricing, storage, and handling of agricultural goods with lifespans extending over two intra-year periods. Theoriginal linear pricing model given by Helmberger is extended to two semi-exponential models, both of which are explicitlysolvable in terms of the LambertWfunction. In addition, the LambertWfunction solution is provided for determining theoptimal time to transfer harvested goods into cool storage under specified agro-technical and managerial constraints.
Ključne besede: Lambert W function, Helmberger linear pricing model, semi-exponential models, optimal transfer time
Objavljeno v ReVIS: 28.08.2026; Ogledov: 117; Prenosov: 3
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2. Catastrophic fault patterns and glacial landscapesTomislav Došlić, Luka Podrug, Ivana Zubac, 2026, izvirni znanstveni članek Opis: Catastrophic fault patterns are failure patterns resulting in the loss of connectivity of a processor array. We provide bijective correspondences between such patterns in one-dimensional processor arrays and lattice paths satisfying certain inertial criteria. In that way, we obtain new results for the asymptotic behavior of the enumerating sequences of catastrophic fault patterns.We also recover and reinterpret several known enumerative results and open possibilities for obtaining analogous results for more complex, but still essentially one-dimensional arrays.
Ključne besede: Catastrophic fault patterns, Dyck path, Motznik path
Objavljeno v ReVIS: 28.08.2026; Ogledov: 110; Prenosov: 0
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3. Dominating induced matchings and other graph parametersAkram Mahmoodia, Afshin Behmaram, Tomislav Došlić, Nahideh Asadi, 2024, izvirni znanstveni članek Ključne besede: Domination, induced matching, dominating induced matching, maximal matching, saturation number
Objavljeno v ReVIS: 18.05.2026; Ogledov: 374; Prenosov: 4
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4. A Note on the Parity of Integer-Valued Topological IndicesTomislav Došlić, 2026, izvirni znanstveni članek Opis: In this note we collect and state some facts on the parity of some integer-valued graph invariants. In particular, we show that several well-known bond-additive topological indices assume only even values for all connected graphs. Among them are both degreebased and distance-based indices. We also discuss some general graph-theoretical consequences of established results.
Objavljeno v ReVIS: 18.05.2026; Ogledov: 389; Prenosov: 6
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5. Graphs with maximum generalized complementary second Zagreb indexSnježana Majstorović Ergotić, Tomislav Došlić, 2026, izvirni znanstveni članek Opis: In this paper, we confirm a conjecture by Furtula and Oz regarding graphs that maximize the second complementary Zagreb index. We demonstrate that this conjecture holds for a broader class of indices, each of which is parameter-dependent, and which we will refer to as the generalized complementary second Zagreb index. It is shown that all indices in this class are maximized by complete split graphs. Additionally, we analyze the behavior of the clique order in optimal graphs. For the case of the second complementary Zagreb index, we provide an explicit expression, thereby confirming the value conjectured by Furtula and Oz.
Objavljeno v ReVIS: 18.05.2026; Ogledov: 439; Prenosov: 4
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6. On Wiener-type topological indices and their reciprocalsAkbar Ali, Tomislav Došlić, Zahid Raza, 2025, izvirni znanstveni članek Opis: The Harary index and the Wiener index are two well-studied topological indices in chemical graph theory. Quite recently, the graphs attaining the minimum value of the product of the Harary and Wiener indices were characterized in [E. Azjargal, B. Horoldagva, I. Gutman, Minimum of product of Wiener and Harary indices, MATCH Commun. Math. Comput. Chem. 92 (2024) 65–71] over the class of all connected graphs of a fixed order and size. The present paper provides a generalization, involving Wiener-type topological indices and their reciprocals, of the aforementioned result.
Ključne besede: Wiener index, topological indices, chemical graph theory
Objavljeno v ReVIS: 18.05.2026; Ogledov: 416; Prenosov: 3
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8. Šoltés problem for the Kirchhoff index of a graphKurt Klement Gottwald, Snježana Majstorović Ergotić, Tomislav Došlić, 2026, izvirni znanstveni članek Ključne besede: Kirchhoff Šoltés problem, Kirchhoff index, Resistance distance, Resistance transmission, Laplacian matrix, Good vertex
Objavljeno v ReVIS: 18.05.2026; Ogledov: 381; Prenosov: 5
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9. Extremal Results and Bounds for Atom–Bond Sum–Connectivity IndexAkbar Ali, Ivan Gutman, Boris Furtula, Izudin Redžepović, Tomislav Došlić, Zahid Raza, 2024, izvirni znanstveni članek Opis: The ABS (atom-bond sum-connectivity) index is a topological index, that was introduced in 2022 by amalgamating the main ideas of two well-examined indices. Mathematical aspects (especially, extremal results and bounds) of the ABS index have already been studied considerably. The primary goal of this review paper is to collect known bounds and extremal results regarding the ABS index. Several new extremal results, which follow easily from existing general results, are also given. Moreover, a number of open problems and conjectures, arising from the reported results, are proposed.
Ključne besede: graph theory, atom-bond sum-connectivity index, ABS index
Objavljeno v ReVIS: 15.05.2026; Ogledov: 408; Prenosov: 6
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10. On log-definite tempered combinatorial sequencesTomislav Došlić, Biserka Kolarec, 2025, izvirni znanstveni članek Ključne besede: tempered sequence, log-convexity, log-concavity, log-balancedness, Fibonacci numbers, Lucas numbers, concyclic points
Objavljeno v ReVIS: 15.05.2026; Ogledov: 454; Prenosov: 5
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