ARS MATHEMATICA CONTEMPORANEA Dragan Marusic, Bibliography: 1980-2013 [1] B. Alspach, M. D. E. Conder, D. Marusic and M.-Y. Xu, A classification of 2-arc-transitive circulants, J. Algebraic Combin. 5 (1996), 83-86. [2] B. Alspach, D. Marusic and L. Nowitz, Constructing graphs which are 1/2-transitive, J. Austral. Math. Soc. Ser. A 56 (1994), 391-402. [3] A. Araluze, I. Kovics, K. Kutnar, L. Martinez and D. Marusic, Partial sum quadruples and bi-Abelian digraphs, J. Combin. Theory Ser. A 119 (2012), 1811-1831. [4] A. Araluze, K. Kutnar, L. Martinez and D. Marusic, Edge connectivity in difference graphs and some new constructions of partial sum families, European J. Combin. 32 (2011), 352-360. [5] A. Blokhuis, G. Kiss, I. Kovics, A. Malnic, D. Marusic and J. Ruff, Semiovals contained in the union of three concurrent lines, J. Combin. Des. 15 (2007), 491501. [6] P. J. Cameron, M. Giudici, G. A. Jones, W. M. Kantor, M. H. Klin, D. Marusic and L. A. Nowitz, Transitive permutation groups without semiregular subgroups, J. London Math. Soc. (2) 66 (2002), 325-333. [7] V. Carli, N. Jovanovic, A. Podlesek, A. Roy, Z. Rihmer, S. Maggi, D. Marusic, C. Cesaro, A. Marusic and M. Sarchiapone, The role of impulsivity in self-mutilators, suicide ideators and suicide attempters: a study of 1265 male incarcerated individuals, J. Affective Disord. 123 (2010), 116-122. [8] M. D. E. Conder, A. Malnic, D. Marusic, T. Pisanski and P. Potocnik, The edge-transitive but not vertex-transitive cubic graph on 112 vertices, J. Graph Theory 50 (2005), 25-42. [9] M. D. E. Conder, A. Malnic, D. Marusic and P. Potocnik, A census of semisymmetric cubic graphs on up to 768 vertices, J. Algebraic Combin. 23 (2006), 255-294. [10] M. D. E. Conder and D. Marusic, A tetravalent half-arc-transitive graph with non-abelian vertex stabilizer, J. Combin. Theory Ser. B 88 (2003), 67-76. [11] E. Dobson, A. Malnic, D. Marusic and L. A. Nowitz, Minimal normal subgroups of transitive permutation groups of square-free degree, Discrete Math. 307 (2007), 373-385. [12] E. Dobson, A. Malnic, D. Marusic and L. A. Nowitz, Semiregular automorphisms of vertex-transitive graphs of certain valencies, J. Combin. Theory Ser. B 97 (2007), 371-380. [13] E. Dobson and D. Marusic, An unusual decomposition of a complete 7-partite graph of order 28, Discrete Math. 308 (2008), 4595-4598. [14] E. Dobson and D. Marusic, On semiregular elements of solvable groups, Comm. Algebra 39 (2011), 1413-1426. ix ARS MATHEMATICA CONTEMPORANEA [15] S. Du, A. Malnic and D. Marusic, Classification of 2-arc-transitive dihedrants, J. Combin. Theory Ser. B 98 (2008), 1349-1372. [16] S. Du and D. Marusic, Biprimitive graphs of smallest order, J. Algebraic Combin. 9 (1999), 151-156. [17] S. Du and D. Marusic, An infinite family of biprimitive semisymmetric graphs, J. Graph Theory 32 (1999), 217-228. [18] S. Du, D. Marusic and A. O. Waller, On 2-arc-transitive covers of complete graphs, J. Combin. Theory Ser B 74 (1998), 276-290. [19] T. Durkee, D. Marusic and V. Postuvan, Prevalence of pathological internet use among adolescents in europe: demographic and social factors, Addiction 107 (2012), 2210-2222. [20] Y.-Q. Feng, K. Kutnar, A. Malnic and D. Marusic, On 2-fold covers of graphs, J. Combin. Theory Ser B 98 (2008), 324-341. [21] H. H. Glover, K. Kutnar, A. Malnic and D. Marusic, Hamilton cycles in (2, odd, 3)-Cayley graphs, Proc. Lond. Math. Soc. (3) 104 (2012), 1171-1197. [22] H. H. Glover, K. Kutnar and D. Marusic, Hamiltonian cycles in cubic Cayley graphs: the (2,4k, 3) case, J. Algebraic Combin. 30 (2009), 447-475. [23] H. H. Glover and D. Marusic, Hamiltonicity of cubic Cayley graphs, J. Eur Math. Soc. (JEMS) 9 (2007), 775-787. [24] M. Hladnik, D. Marusic and T. Pisanski, Cyclic Haar graphs, Discrete Math. 244 (2002), 137-152, algebraic and topological methods in graph theory (Lake Bled, 1999). [25] R. Jajcay, A. Malnic and D. Marusic, On the number of closed walks in vertex-transitive graphs, Discrete Math. 307 (2007), 484-493. [26] G. Kiss, A. Malnic and D. Marusic, A new approach to arcs, Acta Math. Hungar. 84 (1999), 181-188. [27] S. Klavzar, D. Marusic, B. Mohar and T. Pisanski, Preface [Algebraic and topological methods in graph theory], Discrete Math. 307 (2007), 299. [28] S. Klavzar, D. Marusic, B. Mohar and T. Pisanski, Preface: Algebraic and topological graph theory (Bled'07), Discrete Math. 310 (2010), 1651-1652, held at Lake Bled, June 2007. [29] I. Kovics, K. Kutnar and D. Marusic, Classification of edge-transitive rose window graphs, J. Graph Theory 65 (2010), 216-231. [30] I. Kovics, K. Kutnar, D. Marusic and S. Wilson, Classification of cubic symmetric tricirculants, Electron. J. Combin. 19 (2012), Paper 24, 14. x ARS MATHEMATICA CONTEMPORANEA [31] I. Kovžcs, A. Malnic, D. Marušic and Š. Miklavic, One-matching bi-Cayley graphs over abelian groups, European J. Combin. 30 (2009), 602-616. [32] I. Kovžcs, D. Marušic and M. E. Muzychuk, Primitive bicirculant association schemes and a generalization of Wielandt's theorem, Trans. Amer. Math. Soc. 362 (2010), 3203-3221. [33] I. Kovžcs, D. Marušic and M. E. Muzychuk, On dihedrants admitting arc-regular group actions, J. Algebraic Combin. 33 (2011), 409-426. [34] I. Kovžcs, D. Marušic and M. E. Muzychuk, On G-arc-regular dihedrants and regular dihedral maps, J. Algebraic Combin. 38 (2013), 437-455. [35] K. Kutnar, U. Borštnik, D. Marušic and D. Janežic, Interconnection networks for parallel molecular dynamics simulation based on hamiltonian cubic symmetric topology, J. Math. Chem. 45 (2009), 372-385. [36] K. Kutnar, A. Malnic and D. Marušic, Chirality of toroidal molecular graphs, J. Chem. Inf. Mod. 45 (2005), 1527-1535. [37] K. Kutnar, A. Malnic, D. Marušic and Š. Miklavic, Distance-balanced graphs: symmetry conditions, Discrete Math. 306 (2006), 1881-1894. [38] K. Kutnar, A. Malnic, D. Marušic and Š. Miklavic, The strongly distance-balanced property of the generalized Petersen graphs, Ars Math. Contemp. 2 (2009), 41-47. [39] K. Kutnar and D. Marušic, Hamiltonicity of vertex-transitive graphs of order 4p, European J. Combin. 29 (2008), 423-438. [40] K. Kutnar and D. Marušic, On cyclic edge-connectivity of fullerenes, Discrete Appl. Math. 156 (2008), 1661-1669. [41] K. Kutnar and D. Marušic, Recent trends and future directions in vertex-transitive graphs, Ars Math. Contemp. 1 (2008), 112-125. [42] K. Kutnar and D. Marušic, A complete classification of cubic symmetric graphs of girth 6, J. Combin. Theory Ser. B 99 (2009), 162-184. [43] K. Kutnar and D. Marušic, Hamilton cycles and paths in vertex-transitive graphs— current directions, Discrete Math. 309 (2009), 5491-5500. [44] K. Kutnar and D. Marušic, On certain graph theory application, Lecture notes in economics and mathematical systems 613 (2009), 283-291. [45] K. Kutnar and D. Marušic, Some topics in graph theory, Lecture notes in economics and mathematical systems 613 (2009), 3-22. [46] K. Kutnar, D. Marušic and D. Janežic, Fullerenes via their automorphism groups, MATCH Commun. Math. Comput. Chem. 63 (2010), 267-282. [47] K. Kutnar, D. Marušic, Š. Miklavic and P. Šparl, Strongly regular tri-Cayley graphs, European J. Combin. 30 (2009), 822-832. xi ARS MATHEMATICA CONTEMPORANEA [48] K. Kutnar, D. Marušic, D. W. Morris, J. Morris and P. Šparl, Hamiltonian cycles in Cayley graphs whose order has few prime factors, Ars Math. Contemp. 5 (2012), 27-71. [49] K. Kutnar, D. Marušic and P. Šparl, An infinite family of half-arc-transitive graphs with universal reachability relation, European J. Combin. 31 (2010), 1725-1734. [50] K. Kutnar, D. Marušic and D. Vukicevic, On decompositions of leapfrog fullerenes, J. Math. Chem. 45 (2009), 406-416. [51] K. Kutnar, D. Marušic and C. Zhang, Hamilton paths in vertex-transitive graphs of order 10p, European J. Combin. 33 (2012), 1043-1077. [52] K. Kutnar, D. Marušic and C. Zhang, On cubic non-Cayley vertex-transitive graphs, J. Graph Theory 69 (2012), 77-95. [53] C. Li, D. Marušic and J. Morris, Classifying arc-transitive circulants of square-free order, J. Algebraic Combin. 14 (2001), 145-151. [54] C. H. Li, Z. P. Lu and D. Marušic, On primitive permutation groups with small suborbits and their orbital graphs, J. Algebra 279 (2004), 749-770. [55] M. Lovrecic Saražin and D. Marušic, Vertex-transitive expansions of (1, 3)-trees, Discrete Math. 310 (2010), 1772-1782. [56] A. Malnic and D. Marušic, Imprimitive groups and graph coverings, in: Coding theory, design theory, group theory (Burlington, VT, 1990), Wiley, New York, Wiley-Intersci. Publ., pp. 227-235, 1993. [57] A. Malnic and D. Marušic, Constructing 4-valent 1 -transitive graphs with a non-solvable automorphism group, J. Combin. Theory Ser. B 75 (1999), 46-55. [58] A. Malnic and D. Marušic, Constructing 1 -arc-transitive graphs of valency 4 and vertex stabilizer Z2 x Z2, Discrete Math. 245 (2002), 203-216. [59] A. Malnic, D. Marušic, Š. Miklavic and P. Potočnik, Semisymmetric elementary abelian covers of the Möbius-Kantor graph, Discrete Math. 307 (2007), 2156-2175. [60] A. Malnic, D. Marušic, R. G. Möller, N. Seifter, V. Trofimov and B. Zgrablic, Highly arc transitive digraphs: reachability, topological groups, European J. Combin. 26 (2005), 19-28. [61] A. Malnic, D. Marušic and P. Potocnik, Elementary abelian covers of graphs, J. Algebraic Combin. 20 (2004), 71-97. [62] A. Malnic, D. Marušic and P. Potocnik, On cubic graphs admitting an edge-transitive solvable group, J. Algebraic Combin. 20 (2004), 99-113. [63] A. Malnic, D. Marušic, P. Potocnik and C. Wang, An infinite family of cubic edge-but not vertex-transitive graphs, Discrete Math. 280 (2004), 133-148. xii ARS MATHEMATICA CONTEMPORANEA [64] A. Malnic, D. Marusic and N. Seifter, Constructing infinite one-regular graphs, European J. Combin. 20 (1999), 845-853. [65] A. Malnic, D. Marusic, N. Seifter, P. Sparl and B. Zgrablic, Reachability relations in digraphs, European J. Combin. 29 (2008), 1566-1581. [66] A. Malnic, D. Marusic, N. Seifter and B. Zgrablic, Highly arc-transitive digraphs with no homomorphism onto Z, Combinatorica 22 (2002), 435-443. [67] A. Malnic, D. Marusic and P. Sparl, On strongly regular bicirculants, European J. Combin. 28 (2007), 891-900. [68] A. Malnic, D. Marusic, P. Sparl and B. Frelih, Symmetry structure of bicirculants, Discrete Math. 307 (2007), 409-414. [69] A. Malnic, D. Marusic and C. Wang, Cubic edge-transitive graphs of order 2p3, Discrete Math. 274 (2004), 187-198. [70] A. Marusic, K. Belsak and D. Marusic, Sensitization of emotions as a risk factor for ischemic heart disease, Psychiatria Danub. 20 (2008), 30-35. [71] A. Marusic and D. Marusic, Suicidology - expanding its research tools, Crisis 23 (2002), 95-97. [72] D. Marusic, Vertex minimal planar cyclic graphs, Univ. Beograd. Publ. Elektrotehn. Fak. Ser. Mat. Fiz. 1981 (1980), 161-169 (1981). [73] D. Marusic, On vertex symmetric digraphs, Discrete Math. 36 (1981), 69-81. [74] D. Marusic, Cayley properties of vertex symmetric graphs, Ars Combin. 16 (1983), 297-302. [75] D. Marusic, Hamiltonian circuits in Cayley graphs, Discrete Math. 46 (1983), 4954. [76] D. Marusic, Some problems in vertex symmetric graphs, in: Finite and infinite sets, Vol. I, II (Eger, 1981), North-Holland, Amsterdam, volume 37 of Colloq. Math. Soc. Janos Bolyai, pp. 581-589, 1984. [77] D. Marusic, Vertex transitive graphs and digraphs of order pk, in: Cycles in graphs (Burnaby, B.C., 1982), North-Holland, Amsterdam, volume 115 of North-Holland Math. Stud., pp. 115-128, 1985. [78] D. Marusic, Hamiltonian cycles in vertex symmetric graphs of order 2p2, Discrete Math. 66 (1987), 169-174. [79] D. Marusic, On vertex-transitive graphs of order qp, J. Combin. Math. Combin. Com-put. 4 (1988), 97-114. [80] D. Marusic, Research problems: Problem 92, problem 93, Discrete Math. 70 (1988), 215. xiii ARS MATHEMATICA CONTEMPORANEA [81] D. Marusic, Strongly regular bicirculants and tricirculants, Ars Combin. 25 (1988), 11-15, eleventh British Combinatorial Conference (London, 1987). [82] D. Marusic, Strong regularity and circulant graphs, Discrete Math. 78 (1989), 119125. [83] D. Marusic, Hamiltonicity of tree-like graphs, Discrete Math. 80 (1990), 167-173. [84] D. Marusic, On tree-like cubic vertex-transitive graphs, Ars Combin. 29 (1990), 9196, twelfth British Combinatorial Conference (Norwich, 1989). [85] D. Marusic, The seven "weirdos", ObzornikMat. Fiz. 37 (1990), 105-108. [86] D. Marusic, Hamiltonicity of vertex-transitive pq-graphs, in: Fourth Czechoslo-vakian Symposium on Combinatorics, Graphs and Complexity (Prachatice, 1990), North-Holland, Amsterdam, volume 51 of Ann. Discrete Math., pp. 209-212, 1992. [87] D. Marusic, Research problems: Problems 211-212, Discrete Math. 131 (1994), 397-398. [88] D. Marusic, A family of one-regular graphs of valency 4, European J. Combin. 18 (1997), 59-64. [89] D. Marusic, Half-transitive group actions on finite graphs of valency 4, J. Combin. Theory Ser. B 73 (1998), 41-76. [90] D. Marusic, Recent developments in half-transitive graphs, Discrete Math. 182 (1998), 219-231, graph theory (Lake Bled, 1995). [91] D. Marusic, Constructing cubic edge- but not vertex-transitive graphs, J. Graph Theory 35 (2000), 152-160. [92] D. Marusic, In memoriam: some personal impressions of Crispin Nash-Williams, Discrete Math. 244 (2002), 2-4, algebraic and topological methods in graph theory (Lake Bled, 1999). [93] D. Marusic, On 2-arc-transitivity of Cayley graphs, J. Combin. Theory Ser. B 87 (2003), 162-196, dedicated to Crispin St. J. A. Nash-Williams. [94] D. Marusic, Quartic half-arc-transitive graphs with large vertex stabilizers, Discrete Math. 299 (2005), 180-193. [95] D. Marusic, Corrigendum to: "On 2-arc-transitivity of Cayley graphs" [J. Combin. Theory Ser. B 87 (2003), no. 1, 162-196],(2006), 761-764. [96] D. Marusic, Hamilton cycles and paths in fullerenes, J. Chem. Inf. Mod. 47 (2007), 732-736. [97] D. Marusic, Preface: Special issue of discrete mathematics on Hamiltonicity problem for vertex-transitive (Cayley) graphs, Discrete Math. 309 (2009), 5425. [98] D. Marusic and J. Morris, Normal circulant graphs with noncyclic regular subgroups, J. Graph Theory 50 (2005), 13-24. xiv ARS MATHEMATICA CONTEMPORANEA [99] D. Marusic and R. Nedela, Maps and half-transitive graphs of valency 4, European J. Combin. 19 (1998), 345-354. [100] D. Marusic and R. Nedela, On the point stabilizers of transitive groups with non-self-paired suborbits of length 2, J. Group Theory 4 (2001), 19-43. [101] D. Marusic and R. Nedela, Partial line graph operator and half-arc-transitive group actions, Math. Slovaca 51 (2001), 241-257. [102] D. Marusic and R. Nedela, Finite graphs of valency 4 and girth 4 admitting halftransitive group actions, J. Aust. Math. Soc. 73 (2002), 155-170. [103] D. Marusic and T. D. Parsons, Hamiltonian paths in vertex-symmetric graphs of order 5p, Discrete Math. 42 (1982), 227-242. [104] D. Marusic and T. D. Parsons, Hamiltonian paths in vertex-symmetric graphs of order 4p, Discrete Math. 43 (1983), 91-96. [105] D. Marusic and T. Pisanski, Weakly flag-transitive configurations and half-arc-transitive graphs, European J. Combin. 20 (1999), 559-570. [106] D. Marusic and T. Pisanski, The Gray graph revisited, J. Graph Theory 35 (2000), 1-7. [107] D. Marusic and T. Pisanski, The remarkable generalized Petersen graph G(8, 3), Math. Slovaca 50 (2000), 117-121. [108] D. Marusic and T. Pisanski, Symmetries of hexagonal molecular graphs on the torus, Croat. Chem. Acta 73 (2000), 969-981. [109] D. Marusic, T. Pisanski and S. Wilson, The genus of the GRAY graph is 7, European J. Combin. 26 (2005), 377-385. [110] D. Marusic and P. Potocnik, Semisymmetry of generalized Folkman graphs, European J. Combin. 22 (2001), 333-349. [111] D. Marusic and P. Potocnik, Bridging semisymmetric and half-arc-transitive actions on graphs, European J. Combin. 23 (2002), 719-732. [112] D. Marusic and P. Potocnik, Classifying 2-arc-transitive graphs of order a product of two primes, Discrete Math. 244 (2002), 331-338, algebraic and topological methods in graph theory (Lake Bled, 1999). [113] D. Marusic and C. E. Praeger, Tetravalent graphs admitting half-transitive group actions: alternating cycles, J. Combin. Theory Ser. B 75 (1999), 188-205. [114] D. Marusic and R. Scapellato, Characterizing vertex-transitive pq-graphs with an imprimitive automorphism subgroup, J. Graph Theory 16 (1992), 375-387. [115] D. Marusic and R. Scapellato, A class of non-Cayley vertex-transitive graphs associated with PSL(2,p), Discrete Math. 109 (1992), 161-170, algebraic graph theory (Leibnitz, 1989). xv ARS MATHEMATICA CONTEMPORANEA [116] D. Marusic and R. Scapellato, Imprimitive representations of SL(2,2k), J. Combin. Theory Ser. B 58 (1993), 46-57. [117] D. Marusic and R. Scapellato, A class of graphs arising from the action of PSL(2, q2) on cosets of PGL(2, q), Discrete Math. 134 (1994), 99-110, algebraic and topological methods in graph theory (Lake Bled, 1991). [118] D. Marusic and R. Scapellato, Classification of vertex-transitive pq-digraphs, Istit. Lombardo Accad. Sci. Lett. Rend. A 128 (1994), 31-36 (1995). [119] D. Marusic and R. Scapellato, Classifying vertex-transitive graphs whose order is a product of two primes, Combinatorica 14 (1994), 187-201. [120] D. Marusic and R. Scapellato, Permutation groups with conjugacy complete stabilizers, Discrete Math. 134 (1994), 93-98, algebraic and topological methods in graph theory (Lake Bled, 1991). [121] D. Marusic and R. Scapellato, Permutation groups, vertex-transitive digraphs and semiregular automorphisms, European J. Combin. 19 (1998), 707-712. [122] D. Marusic, R. Scapellato and N. Zagaglia Salvi, A characterization of particular symmetric (0,1) matrices, Linear Algebra Appl. 119 (1989), 153-162. [123] D. Marusic, R. Scapellato and N. Zagaglia Salvi, Generalized Cayley graphs, Discrete Math. 102 (1992), 279-285. [124] D. Marusic, R. Scapellato and B. Zgrablic, On quasiprimitive pqr-graphs, Algebra Colloq. 2 (1995), 295-314. [125] D. Marusic and P. Sparl, On quartic half-arc-transitive metacirculants, J. Algebraic Combin. 28 (2008), 365-395. [126] D. Marusic and A. O. Waller, Half-transitive graphs of valency 4 with prescribed attachment numbers, J. Graph Theory 34 (2000), 89-99. [127] D. Marusic and M.-Y. Xu, A 1 -transitive graph of valency 4 with a nonsolvable group of automorphisms, J. Graph Theory 25 (1997), 133-138. [128] T. Pisanski, M. Boben, D. Marusic, A. Orbanic and A. Graovac, The 10-cages and derived configurations, Discrete Math. 275 (2004), 265-276. [129] R. Scepanovic, G. Ringel, D. Marusic, G. L. Chia and B. Alspach, Nonseparable graphs with a given number of cycles, J. Graph Theory 18 (1994), 777-789. [130] D. Wasserman, V. Carli, C. Wasserman, A. Apter, J. Balazs, R. Bracale, R. Brunner, C. Bursztein-Lipsicas, P. Corcoran, D. Cosman, T. Durkee, D. Feldman, J. Gadoros, F. Guillemin, C. Haring, J.-P. Kahn, M. Kaess, H. Keeley, D. Marusic, B. Nemes, V. Postuvan, S. Reiter-Theil, F. Resch, P. Sáiz, M. Sarchiapone, M. Sisask, A. Varnik and C. W. Hoven, Saving and empowering young lives in europe (seyle): a randomized controlled trial, BMC Public Health 10 (2010), 1-14. xvi