Here are published preprints. Published papers can differ from the manuscripts here!

 

[84] Grundy Packing Coloring of Graphs (with D. Gözüpek)

[83] Domination number of modular product graphs (with S. BermudoJ. SedlarR. Škrekovski)

[82] Convex Geometries yielded by Transit Functions (with M. Changat, L. K. K. Sheela and A. V. Shanavas)

[81] On Distance and Strong Metric Dimension of the Modular Product (with C. X. Kang, A. Kelenc and E. Yi)

[80] The Toll Walk Transit Function of a Graph: Axiomatic Characterizations and First-Order Non-definability (with M. Changat, J. Jacob and L. K. K. Sheela)

[79] On the simultaneous metric dimension of a graph and its complement (with C. X. Kang and E. Yi)

            PDF                Rocky Mountain J. Math. to appear.

[78] A new approach to b-coloring of regular graphs (with M. DettlaffH. FurmańczykR. RouxR. Ziemann)       

Appl. Math, Comput. 481 (2024) #128914.

[77]  Resolving vertices of graphs with differences (with J. Sedlar, R. Škrekovski and I. G. Yero)

            PDF                Comput. Appl. Math. 43 (2024) #275.

[76] On some metric properties of direct-co-direct product (with A. Kelenc)

            PDF                 Appl. Math, Comput457 (2023) 128152.

[75] The Simultaneous Fractional Dimension of Graph Families (with C. X. Kang and E. Yi)

            PDF                Acta Math. Sinica (English series) 39 (2023) 1425-1441.

[74] Axiomatic characterization of the toll walk function of some graph classes (with L. K. K. Sheela and M. Changat)

            PDF                Lecture Notes Comput. Sci. 13947 (2023) 427-446.

[73] Distance formula for direct-co-direct product in the case of disconnected factors (with A. Kelenc)

            PDF                 Art Discrete Appl. Math. 6(2) (2023) p2.13 (21p).

[72] On b-acyclic chromatic number of a graph (with M. Anholcer and S. Cichacz)

PDF                 Comput. Appl. Math. 42 (2023) #21 (20p).

[71] On the total co-independent domination number of some graph operations (with A. Cabrera Martínez, S. Cabrera García and I. G. Yero)

            PDF                Rev. Union Mat. Argent. 63 (2022) 153-168.   

[70] Graphs with unique maximum packing of closed neighborhoods (with D. Božović)

            PDF                Discuss. Math. Graph Theory 42 (2022) 779-797.

[69] Geodesic transversal problem for join and lexicographic product of graphs (with G. Semanišin)

            PDF                Comput. Appl. Math. 41 (2022) 128.

[68] Incidence dimension (with D. Božović, A. Kelenc and I. G. Yero)

            PDF                RAIRO-Oper. Res. 56 (2022) 199-211. https://doi.org/10.1051/ro/2022001

[67] A Steiner general position problem in graph theory (with S. Klavžar, D. Kuziak and I. G. Yero)          

            PDF                 Comput. Appl. Math. 40 (2021) 223.

[66] Roman domination in direct product graphs and rooted product graphs (with A. Cabrera Martínez and I. G. Yero)

            PDF                AIMS Math. 6(10) (2021) 11084-11096.

[65] On the maximal shortest path cover number (with G. Semanišin)

            PDF                Mathematics 9(14) (2021) 1592.

[64] On three outer independent domination related parameters in graphs (with D. A. Mojdeh, B. Samadi and I. G. Yero)

            PDF                Discrete Appl. Math. 294 (2021) 115-124.

[63] A note on the packing chromatic number of lexicographic products (with D. Božović)

            PDF                Discrete Appl. Math. 293 (2021) 34-37.

[62] [1, k]-domination number of lexicographic product of graphs (with N. Ghareghani and P. Sharifani)

            PDF                Bull. Malays. Math. Sci. Soc. 44 (2021) 375-392.

[61] Independent transversal total domination versus total domination in trees (with A. Cabrera Martínez and I. G. Yero)

            PDF                 Discuss. Math. Graph Theory 41 (2021) 213–224. 10.7151/dmgt.2200

[60] Packing in graph products (with D. A. Mojdeh, B. Samadi and I. G. Yero)

            PDF                Discrete Math. Theoret. Comput. Sci. 22 (2020) #1 (17p.).

[59] Dominating the direct product of two graphs through total Roman strategies (with A. Cabrera Martínez, D. Kuziak and I. G. Yero)

            PDF                Mathematics 8 (2020) #1438 (13 p.).

[58] Recognizing generalized Sierpiński graphs (with W. Imrich)

            PDF                 Appl. Anal. Discrete Math.14 (2020) 122-137.

[57] Edge metric dimension of some graph operations (with I. G. Yero)

            PDF                 Bull. Malays. Math. Sci. Soc. 43 (2020) 2465-2477.  

[56] Efficient open domination in digraph products  (with D. Božović)

            PDF                Mathematics 8 (2020) #496 (14 p.).

[55] A note on bipartite graphs whose [1, k]-domination number equal to their number of vertices (with N. Ghareghani and P. Sharifani)

            PDF                Opuscula Math. 40 (2020) 375-382.

[54] A Characterization of Graphs with Disjoint Total Dominating Sets (with M. A. Henning)

            PDF                 Ars Math. Contemp. 16 (2019) 359-375.

[53] Efficient closed domination of digraph products (with I. G. Yero)

PDF                 J. Combin. Optim. 38 (2019) 130-149.  https://doi.org/10.1007/s10878-018-0370-y

[52] The complexity of open k-monopolies in graphs for negative k         

PDF                 Opuscula Math. 39 (2019) 425-431.

[51] A note on the Thue chromatic number of lexicographic products of graphs (with J. Schreyer, E. Škrabul'áková and A. Taranenko)    

PDF                 Discuss. Math. Graph Theory 38 (2018) 635-643.

[50] The Security Number of Lexicographic Products  (with T. Gologranc and M. Jakovac)

            PDF                 Quaest. Math. 41 (2018) 601-613.

[49] Cartesian products of directed graphs with loops (with W. Imrich)

            PDF                 Discrete Math. 341 (2018) 1336-1343.

[48] Bounding the open k-monopoly number of strong product graphs (with D. Kuziak and I. G. Yero)

            PDF                 Discuss. Math. Graph Theory 38 (2018) 287-300. doi: 10.7151/dmgt.2017.

[47] Wiener index of the strong product of graphs (with P. Žigert Pleteršek)      

PDF                 Opuscula Math. 38, no. 1 (2018) 81-94.

[46] The b-chromatic number-a survey (with M. Jakovac)        

PDF                 Discrete Appl. Math. 235 (2018) 184-201. doi.org/10.1016/j.dam.2017.08.008

[45] Resolvability and Strong Resolvability in the Direct Product of Graphs (with D. Kuziak and I. G. Yero)

            PDF                 Results Math. 71 (2017) 509-526.

[44] Graphs that are simultaneously efficient open domination and efficient closed domination graphs (with S. Klavžar and I. G. Yero)

PDF                 Discrete Appl. Math. 217 (2017) 613-621.

[43] On the (k-)monopolies of lexicographic product graphs: bounds and closed formulas (with D. Kuziak and I. G. Yero)

            PDF                 Bull. Math. Soc. Sci. Math. Roumanie. 59(4) (2016) 355-366.

 [42] On gated sets in graphs (with M. Changat and A. Ramachandran)

            PDF                 Taiwan. J. Math. 20(3) (2016) 509-521.

[41] The Induced Path Transit Function and the Pasch Axiom  (with M. Changat, A. Ramachandran, and A. Tepeh)

            PDF                 Bull. Malays. Math. Sci. Soc. 39 (2016) 123-134.

[40] Open k-monopolies in graphs: complexity and related concepts  (with D. Kuziak and I. G. Yero)

            PDF                 Discrete Math. Theoret. Comput. Sci.18(3) (2016) #1407.

[39] Spectra of graphs and closed distance magic labelings (with M. Anholcer and S. Cichacz)

            PDF                 Discrete Math. 339 (2016) 1915-1923.

[38] Partitioning the vertex set of G to make GH an efficient open domination graph (with T. Kraner Šumenjak, D. F. Rall and A. Tepeh)

            PDF                 Discrete Math. Theoret. Comput. Sci.18(3) (2016) #1503.

[37] The median game (with M. Changat, D. S. Lekha, A. R. Subhamathi and S. Špacapan)

            PDF                 Discrete Optim. 17 (2015) 80-88.

[36] Hybrid Evolutionary Algorithm for b-coloring (with I. Fister, M. Mernik and M. Črepinšek)

            PDF                 J. Heuristics 21 (2015) 501-521.

[35] The b-chromatic index of direct product of graphs  (with I. Koch)

            PDF                 Discrete Appl. Math.190-191 (2015) 109-117.

[34] The b-chromatic index of a graph (with M. Jakovac)

            PDF                 Bull. Malays. Math. Sci. Soc. 38 (2015) 1375-1392.

[33] Distance magic labeling and two products of graphs (with M. Anholcer, S. Cichacz, and A. Tepeh)

            PDF                 Graphs Combin. 31 (2015) 1125-1136.

[32] Computing the (k-)monopoly number of direct product of graphs  (with D. Kuziak and I. G. Yero)

            PDF                 FILOMAT 29  (2015)1163-1171.

[31] Toll convexity (with L. Alcón, B. Brešar, T. Gologranc, M. Gutierrez, T. Kraner Šumenjak, A. Tepeh)

            PDF                 European J. Combin. 46 (2015) 161-175.

[30] Pre-hull number of Cartesian and strong graph products

            PDF                 J. Combin. Math. Combin. Comput. 95 (2015) 55-64.

[29] Group distance magic labeling of direct product of graphs (with M. Anholcer, S. Cichacz, and A. Tepeh)

            PDF                 Ars Math. Contemp. 9 (2015) 93-107.

[28] Some Steiner Concepts on Lexicographic Products of Graphs (with B. S. Anand, M. Changat, and P. G. Narashimha-Shenoi)

                PDF                 Discrete Math. Algorithms Appl. 6 (2014) 1450060.

[27] Erratum to ''Total domination number of cartesian products'' [Math. Commun. 9 (2004) 35-44.] (with D. Kuziak and I. G. Yero)

            PDF                 Math. Commun. 19 (2014) 195-200.

[26] Efficient open domination in graph products  (with D. Kuziak and I. G. Yero)

            PDF                 Discrete Math. Theoret. Comput. Sci. 16 (2014) 105-120.

[25] Rainbow connection and graph products (with T. Gologranc and G. Mekiš)

            PDF                 Graphs Combin. 30 (2014) 591-607.

[24] Intervals and convex sets in strong product of graphs        

            PDF                 Graphs Combin. 29 (2013) 705-714.

[23] A forbidden subgraph characterization of some graph classes using betweenness axioms

(with M. Changat, A.K. Lakshmikuttyamma, J. Mathews, P.G. Narashimha-Shenoi, G. Seethakuttyamma, and S. Špacapan)

            PDF                 Discrete Math. 313 (2013) 951-958.

[22] Hamming dimension of a graph - the case of Sierpiński graphs (with S. Klavžar and S.S. Zemljič)

            PDF                 European J. Combin. 34 (2013) 460-473.

[21] Quasi-almostmedian graphs

            PDF       PS      ARS Combin. 108 (2013) 105-115.

[20] Almost self-centred median and chordal graphs (with K. Balakrishnan , B. Brešar, M. Changat, S. Klavžar, and A. R. Subhamathi)

            PDF                 Taiwan. J. Math. 16 (2012) 1911-1922.

[19] On the b-chromatic number of some products (with M. Jakovac)

            PDF                 Studia Sci. Math. Hungar. 49 (2012) 156-169.

[18] Pre-hull number and lexicographic product

            PDF                 Discrete Math. 312 (2012) 2153-2157.

[17] Atoms and Clique Separators in Graph Products (with B. S. Anand, K. Balakrishnan, and M. Changat)

            PDF                 Appl. Anal. Discrete Math. 6 (2012) 46-62.

[16] Convex sets in lexicographic product of graphs (with B.S. Anand, M. Changat, and S. Klavžar)

                PDF                        Graphs Combin. 28 (2012) 77-84.

[15] A note on 3-Steiner intervals and betweenness (with M. Changat, A.K. Lakshmikuttyamma, J. Mathews, P.G. Narashimha-Shenoi, and A.Tepeh Horvat)

PDF                 Discrete Math. 311 (2011) 2601-2609.

[14] N-ary transit functions in graphs (with M. Changat, J. Mathews, and P. G. Narashimha-Shenoi)

            PDF                 Discuss. Math. Graph Theory 30 (2010) 671-685

[13] NZ-flows in strong products of graphs (with W. Imrich, S. Špacapan, and C.Q. Zhang)

            PDF                 J. Graph Theory 64 (2010) 267-276.

[12] Steiner intervals, geodesic intervals, and betweenness (with B. Brešar, M. Changat, J. Mathews, P.G. Narashimha-Shenoi, and A.Tepeh Horvat)

PDF                 Discrete Math. 309 (2009) 6114-6125.

[11] Strongly distance-balanced graphs and graph products (with K. Balakrishnan, M. Changat, A. R. Subhamathi, S. Špacapan, and P. Šparl)

PDF     PS        European J. Combin. 30 (2009) 1048-1053.

[10] Antimedian graphs (with K. Balakrishnan, M. Changat, S. Klavžar, J. Mathews, P. G. Narashimha-Shenoi, and S. Špacapan)

            PDF     PS       Australasian J. Combin. 41 (2008) 159-170.

[9] Game chromatic number of Cartesian product graphs (with T. Bartnicki, B. Brešar, J. Grytczuk, M. Kovše, and Z. Miechowicz)

PDF     PS       Electron. J. Combin. 15 (2008) #72.  

[8] A characterization of planar partial cubes

PDF     PS        Discrete Math. 308 (2008) 6596-6600.

[7] Projection vectors and Fibonnaci and Lucas cubes (with S. Klavžar)

            PDF                 Publ. Math. (Debr.) 71 (2007) 267-278.

[6] Nonrepetitive colorings of trees (with B. Brešar, S. Klavžar, J. Grytczuk, and S. Niwczyk)

            PDF     PS       Discrete Math. 307 (2007) 163-172.

[5] Recognizing Cartesian Products in Linear Time (with W. Imrich)

            PDF     PS       Discrete Math. 307 (2007) 472-483. 

[4] Fast recognition of classes of almost-median graphs (with W. Imrich, A. Lipovec, and P. Žigert)

            PDF     PS        Discrete Math. 307 (2007) 464-471.

[3] A characterization of planar median graphs

            PDF     PS        Discussiones Math. Graph Theory 26 (2006) 41-48. 

[2] Characterizing subgraphs of Hamming graphs (with S. Klavžar)

            PDF      PS         J. Graph Theory 49 (2005) 302-312.           

[1] Characterizing flag graphs and induced subgraphs of Cartesian product graphs

            PDF     PS        Order 21 (2004) 283-292.