1. 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: 166; Prenosov: 2
 Celotno besedilo (1,03 MB)
Gradivo ima več datotek! Več... |
2. 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: 167; Prenosov: 3
Celotno besedilo (315,01 KB)
Gradivo ima več datotek! Več... |
3. 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: 187; Prenosov: 2
Celotno besedilo (374,61 KB)
Gradivo ima več datotek! Več... |
4. 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: 201; Prenosov: 1
Celotno besedilo (424,76 KB) |
5. |
6. 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: 177; Prenosov: 2
Celotno besedilo (1,90 MB)
Gradivo ima več datotek! Več... |
7. 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: 187; Prenosov: 2
Celotno besedilo (1,14 MB)
Gradivo ima več datotek! Več... |
8. 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: 217; Prenosov: 2
Celotno besedilo (289,81 KB)
Gradivo ima več datotek! Več... |
9. Tilings of a honeycomb strip and higher order Fibonacci numbersTomislav Došlić, Luka Podrug, 2024, izvirni znanstveni članek Opis: In this paper, we explore two types of tilings of a oneycomb
strip and derive some closed-form formulas for the number of
tilings. Furthermore, we obtain some new identities involving tribonacci numbers, Padovan numbers and Narayana’s cow sequence and provide combinatorial proofs for several known identities about those numbers.
Ključne besede: tilings, hexagonal lattice, Fibonacci numbers, tribonacci numbers, combinatorics
Objavljeno v ReVIS: 15.05.2026; Ogledov: 201; Prenosov: 2
Celotno besedilo (417,62 KB)
Gradivo ima več datotek! Več... |
