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591 publications using GAP in the category "Combinatorics"[AV20] Abas, M. and Vetrík, T., Metric dimension of Cayley digraphs of split metacyclic groups, Theoret. Comput. Sci., 809 (2020), 61–72. [AAG19] Abbas, A., Assi, A., and García-Sánchez, P. A., Canonical bases of modules over one dimensional $\boldK$-algebras, Rev. R. Acad. Cienc. Exactas Fís. Nat. Ser. A Mat. RACSAM, 113 (2) (2019), 1121–1139. [AI15] Abdolghafourian, A. and Iranmanesh, M. A., Divisibility graph for symmetric and alternating groups, Comm. Algebra, 43 (7) (2015), 2852–2862. [AIN17] Abdolghafourian, A., Iranmanesh, M. A., and Niemeyer, A. C., The divisibility graph of finite groups of Lie type, J. Pure Appl. Algebra, 221 (10) (2017), 2482–2493. [AH09] Abdollahi, A. and Hassanabadi, A. M., Non-cyclic graph associated with a group, J. Algebra Appl., 8 (2) (2009), 243–257. [AJJ16] Abdollahi, A., Janbaz, S., and Jazaeri, M., Groups all of whose undirected Cayley graphs are determined by their spectra, J. Algebra Appl., 15 (9) (2016), 1650175, 15. [AJ14] Abdollahi, A. and Jazaeri, M., Groups all of whose undirected Cayley graphs are integral, European J. Combin., 38 (2014), 102–109. [ADJ17] Abdollahi, A., van Dam, E. R., and Jazaeri, M., Distance-regular Cayley graphs with least eigenvalue $-2$, Des. Codes Cryptogr., 84 (1-2) (2017), 73–85. [AV09] Abdollahi, A. and Vatandoost, E., Which Cayley graphs are integral?, Electron. J. Combin., 16 (1) (2009), Research Paper 122, 17. [AZ15] Abdollahi, A. and Zallaghi, M., Character sums for Cayley graphs, Comm. Algebra, 43 (12) (2015), 5159–5167. [AZ19] Abdollahi, A. and Zallaghi, M., Non-abelian finite groups whose character sums are invariant but are not Cayley isomorphism, J. Algebra Appl., 18 (1) (2019), 1950013, 15. [AZ10] Abdollahi, A. and Zarrin, M., Non-nilpotent graph of a group, Comm. Algebra, 38 (12) (2010), 4390–4403. [AC+13] Abel, R. J. R., Combe, D., Nelson, A. M., and Palmer, W. D., GBRDs over supersolvable groups and solvable groups of order prime to 3, Des. Codes Cryptogr., 69 (2) (2013), 189–201. [AC+17] Abel, R. J. R., Combe, D., Nelson, A. M., and Palmer, W. D., Block designs signed over groups of order $2^n3^m$, Discrete Math., 340 (12) (2017), 2925–2940. [A04] AbuGhneim, O. A., On nonabelian McFarland difference sets, in Proceedings of the Thirty-Fifth Southeastern International Conference on Combinatorics, Graph Theory and Computing, Congr. Numer., 168 (2004), 159–175. [A16] AbuGhneim, O. A., All $(64, 28, 12)$ difference sets and related structures, Ars Combin., 125 (2016), 271–285. [AFK15] Afkhami, M., Farrokhi D. G. , M., and Khashyarmanesh, K., Planar, toroidal, and projective commuting and noncommuting graphs, Comm. Algebra, 43 (7) (2015), 2964–2970. [AB04] Aguglia, A. and Bonisoli, A., On the non-existence of a projective plane of order 15 with an $A_4$-invariant oval, Discrete Math., 288 (1-3) (2004), 1–7. [AG07] Aguglia, A. and Giuzzi, L., Orthogonal arrays from Hermitian varieties, Innov. Incidence Geom., 5 (2007), 129–144. [AG08] Aguglia, A. and Giuzzi, L., An algorithm for constructing some maximal arcs in $\rm PG(2,q^2)$, Results Math., 52 (1-2) (2008), 17–33. [AG10] Aguiló-Gost, F. and García-Sánchez, P. A., Factoring in embedding dimension three numerical semigroups, Electron. J. Combin., 17 (1) (2010), Research Paper 138, 21. [AGL15] Aguiló-Gost, F., García-Sánchez, P. A., and Llena, D., On the number of $ßfL$-shapes in embedding dimension four numerical semigroups, Discrete Math., 338 (12) (2015), 2168–2178. [AL18] Aguiló-Gost, F. and Llena, D., Computing denumerants in numerical 3-semigroups, Quaest. Math., 41 (8) (2018), 1083–1116. [AD+19] Aguirre-Guerrero, D., Ducoffe, G., Fàbrega, L., Vilà, P., and Coudert, D., Low time complexity algorithms for path computation in Cayley graphs, Discrete Appl. Math., 259 (2019), 218–225. [AT14] Ahmadi, H. and Taeri, B., On the planarity of a graph related to the join of subgroups of a finite group, Bull. Iranian Math. Soc., 40 (6) (2014), 1413–1431. [AM14] Akbari, M. and Moghaddamfar, A. R., The existence or nonexistence of non-commuting graphs with particular properties, J. Algebra Appl., 13 (1) (2014), 1350064, 11. [AKT19] Akhlaghi, Z., Khedri, K., and Taeri, B., Finite groups with $K_5$-free prime graphs, Comm. Algebra, 47 (7) (2019), 2577–2603. [AST19] Akiyama, K., Suetake, C., and Tanaka, M., The nonexistence of projective planes of order 12 with a collineation group of order 9, Australas. J. Combin., 74 (2019), 112–160. [A20] Alavi, S. H., Flag-transitive block designs and finite simple exceptional groups of Lie type, Graphs Combin., 36 (4) (2020), 1001–1014. [AB+20] Alavi, S. H., Bayat, M., Choulaki, J., and Daneshkhah, A., Flag-transitive block designs with prime replication number and almost simple groups, Des. Codes Cryptogr., 88 (5) (2020), 971–992. [ABD20] Alavi, S. H., Bayat, M., and Daneshkhah, A., Flag-transitive block designs and unitary groups, Monatsh. Math., 193 (3) (2020), 535–553. [ABD20] Alavi, S. H., Bayat, M., and Daneshkhah, A., Symmetric designs and projective special linear groups of dimension at most four, J. Combin. Des., 28 (9) (2020), 688–709. [AB+19] Alavi, S. H., Bayat, M., Daneshkhah, A., and Zarin, S. Z., Symmetric designs and four dimensional projective special unitary groups, Discrete Math., 342 (4) (2019), 1159–1169. [ADO19] Alavi, S. H., Daneshkhah, A., and Okhovat, N., On flag-transitive automorphism groups of symmetric designs, Ars Math. Contemp., 17 (2) (2019), 617–626. [ADP20] Alavi, S. H., Daneshkhah, A., and Praeger, C. E., Symmetries of biplanes, Des. Codes Cryptogr., 88 (11) (2020), 2337–2359. [AR20] Alazemi, A. and Raney, M., On triangular matroids induced by $n_3$-configurations, Open Math., 18 (1) (2020), 1565–1579. [AA+05] Albert, M. H., Aldred, R. E. L., Atkinson, M. D., Handley, C. C., Holton, D. A., and McCaughan, D. J., Sorting classes, Electron. J. Combin., 12 (2005), Research Paper 31, 25. [AAB12] Albert, M. H., Atkinson, M. D., and Brignall, R., The enumeration of three pattern classes using monotone grid classes, Electron. J. Combin., 19 (3) (2012), Paper 20, 34. [AL09] Albert, M. H. and Linton, S. A., Growing at a perfect speed, Combin. Probab. Comput., 18 (3) (2009), 301–308.
[ABC03] Alejandro, P. P., Bailey, R. A., and Cameron, P. J.,
Association schemes and permutation groups,
Discrete Math.,
266 (1-3)
(2003),
47–67 [AK16] Alekseeva, O. A. and Kondratʹev, A. S., Finite groups whose prime graphs are triangle-free. II, Tr. Inst. Mat. Mekh., 22 (1) (2016), 3–13. [AB+00] Alexander, J., Balasubramanian, R., Martin, J., Monahan, K., Pollatsek, H., and Sen, A., Ruling out $(160,54,18)$ difference sets in some nonabelian groups, J. Combin. Des., 8 (4) (2000), 221–231. [AS08] Ali, M. H. and Schaps, M., Lifting McKay graphs and relations to prime extensions, Rocky Mountain J. Math., 38 (2) (2008), 373–393. [ABC17] Aljohani, M., Bamberg, J., and Cameron, P. J., Synchronization and separation in the Johnson schemes, Port. Math., 74 (3) (2017), 213–232. [AR19] Anitha, T. and Rajkumar, R., On the power graph and the reduced power graph of a finite group, Comm. Algebra, 47 (8) (2019), 3329–3339. [ABK15] Araújo, J., Bentz, W., and Konieczny, J., The commuting graph of the symmetric inverse semigroup, Israel J. Math., 207 (1) (2015), 103–149. [AB+15] Araújo, J., Bentz, W., Mitchell, J. D., and Schneider, C., The rank of the semigroup of transformations stabilising a partition of a finite set, Math. Proc. Cambridge Philos. Soc., 159 (2) (2015), 339–353. [ACS17] Araújo, J., Cameron, P. J., and Steinberg, B., Between primitive and 2-transitive: synchronization and its friends, EMS Surv. Math. Sci., 4 (2) (2017), 101–184. [AKK11] Araújo, J., Kinyon, M., and Konieczny, J., Minimal paths in the commuting graphs of semigroups, European J. Combin., 32 (2) (2011), 178–197. [A03] Araya, M., More mutually disjoint Steiner systems $S(5,8,24)$, J. Combin. Theory Ser. A, 102 (1) (2003), 201–203. [AHK04] Araya, M., Harada, M., and Kharaghani, H., Some Hadamard matrices of order 32 and their binary codes, J. Combin. Des., 12 (2) (2004), 142–146. [APS19] Ariki, S., Park, E., and Speyer, L., Specht modules for quiver Hecke algebras of type $C$, Publ. Res. Inst. Math. Sci., 55 (3) (2019), 565–626. [AB16] Arquette, D. M. and Bulutoglu, D. A., The linear programming relaxation permutation symmetry group of an orthogonal array defining integer linear program, LMS J. Comput. Math., 19 (1) (2016), 206–216. [AA19] Asadian, B. and Ahanjideh, N., Non-solvable groups and the two-prime hypothesis on conjugacy class sizes, Comm. Algebra, 47 (5) (2019), 2118–2130. [AA18] Asboei, A. K. and Amiri, S. S. S., Some alternating and symmetric groups and related graphs, Beitr. Algebra Geom., 59 (1) (2018), 21–24. [BT19] Bahrami, Z. and Taeri, B., Further results on the join graph of a finite group, Turkish J. Math., 43 (5) (2019), 2097–2113. [BCC08] Bailey, R. A., Cameron, P. J., and Connelly, R., Sudoku, gerechte designs, resolutions, affine space, spreads, reguli, and Hamming codes, Amer. Math. Monthly, 115 (5) (2008), 383–404. [BC+06] Bailey, R. A., Cameron, P. J., Dobcsányi, P., Morgan, J. P., and Soicher, L. H., Designs on the web, Discrete Math., 306 (23) (2006), 3014–3027. [B06] Bailey, R. F., Uncoverings-by-bases for base-transitive permutation groups, Des. Codes Cryptogr., 41 (2) (2006), 153–176. [B15] Bailey, R. F., The metric dimension of small distance-regular and strongly regular graphs, Australas. J. Combin., 62 (2015), 18–34. [BC+13] Bailey, R. F., Cáceres, J., Garijo, D., González, A., Márquez, A., Meagher, K., and Puertas, M. L., Resolving sets for Johnson and Kneser graphs, European J. Combin., 34 (4) (2013), 736–751. [BD07] Bailey, R. F. and Dixon, J. P., Distance enumerators for permutation groups, Comm. Algebra, 35 (10) (2007), 3045–3051. [BP12] Bailey, R. F. and Prellberg, T., Decoding generalised hyperoctahahedral groups and asymptotic analysis of correctible error patterns, Contrib. Discrete Math., 7 (1) (2012), 1–14. [BS10] Bailey, R. F. and Stevens, B., Hamiltonian decompositions of complete $k$-uniform hypergraphs, Discrete Math., 310 (22) (2010), 3088–3095. [BR15] Ballantyne, J. and Rowley, P., Local fusion graphs and sporadic simple groups, Electron. J. Combin., 22 (3) (2015), Paper 3.18, 13. [BD+15] Bamberg, J., Devillers, A., Fawcett, J. B., and Praeger, C. E., Locally triangular graphs and rectagraphs with symmetry, J. Combin. Theory Ser. A, 133 (2015), 1–28. [BGS15] Bamberg, J., Glasby, S. P., and Swartz, E., AS-configurations and skew-translation generalised quadrangles, J. Algebra, 421 (2015), 311–330. [BN+19] Bannai, E., Nakahara, M., Zhao, D., and Zhu, Y., On the explicit constructions of certain unitary $t$-designs, J. Phys. A, 52 (49) (2019), 495301, 17. [BN+20] Bannai, E., Navarro, G., Rizo, N., and Tiep, P. H., Unitary $t$-groups, J. Math. Soc. Japan, 72 (3) (2020), 909–921. [BC12] Barakat, M. and Cuntz, M., Coxeter and crystallographic arrangements are inductively free, Adv. Math., 229 (1) (2012), 691–709. [BB+07] Bates, C., Bundy, D., Hart, S., and Rowley, P., Commuting involution graphs for sporadic simple groups, J. Algebra, 316 (2) (2007), 849–868. [BH+09] Baumeister, B., Haase, C., Nill, B., and Paffenholz, A., On permutation polytopes, Adv. Math., 222 (2) (2009), 431–452. [B05] Becker, P. E., Investigation of solvable (120, 35, 10) difference sets, J. Combin. Des., 13 (2) (2005), 79–107. [BKK07] Beidar, K. I., Ke, W., and Kiechle, H., Automorphisms of certain design groups. II, J. Algebra, 313 (2) (2007), 672–686. [B15] Belousov, I. N., On automorphisms of a distance-regular graph with intersection array $\39, 36, 1; 1, 2, 39\$, Tr. Inst. Mat. Mekh., 21 (3) (2015), 54–62. [BM17] Belousov, I. N. and Makhnev, A. A., Automorphism groups of small distance regular graphs, Algebra Logika, 56 (4) (2017), 395–405. [BFM15] Beltrán, A., Felipe, M. J., and Melchor, C., Graphs associated to conjugacy classes of normal subgroups in finite groups, J. Algebra, 443 (2015), 335–348. [BFM16] Beltrán, A., Felipe, M. J., and Melchor, C., Normal subgroups whose conjugacy class graph has diameter three, Bull. Aust. Math. Soc., 94 (2) (2016), 266–272. [BM05] Benini, A. and Morini, F., Partially balanced incomplete block designs from weakly divisible nearrings, Discrete Math., 301 (1) (2005), 34–45. [BF+97] Berenbom, J., Fendel, J., Gilbert, G. T., and Hatcher, R. L., Sliding piece puzzles with oriented tiles, Discrete Math., 175 (1-3) (1997), 23–33. [BM+15] Berman, L. W., Monson, B., Oliveros, D., and Williams, G. I., The monodromy group of a truncated simplex, J. Algebraic Combin., 42 (3) (2015), 745–761. [BD+09] Betten, A., Delandtsheer, A., Law, M., Niemeyer, A. C., Praeger, C. E., and Zhou, S., Finite line-transitive linear spaces: theory and search strategies, Acta Math. Sin. (Engl. Ser.), 25 (9) (2009), 1399–1436. [BTZ19] Betten, A., Topalova, S., and Zhelezova, S., Parallelisms of $\rm PG(3,4)$ invariant under cyclic groups of order 4, in Algebraic informatics, Springer, Cham, Lecture Notes in Comput. Sci., 11545 (2019), 88–99. [BS08] Bhattacharya, C. and Smith, K. W., Factoring $(16,6,2)$ Hadamard difference sets, Electron. J. Combin., 15 (1) (2008), Research Paper 112, 16. [BM17] Biliotti, M. and Montinaro, A., On flag-transitive symmetric designs of affine type, J. Combin. Des., 25 (2) (2017), 85–97. [BMR19] Biliotti, M., Montinaro, A., and Rizzo, P., Nonsymmetric 2-$(v,k,\lambda)$ designs, with $(r,\lambda)=1$, admitting a solvable flag-transitive automorphism group of affine type, J. Combin. Des., 27 (12) (2019), 784–800. [BTW06] Billera, L. J., Thomas, H., and van Willigenburg, S., Decomposable compositions, symmetric quasisymmetric functions and equality of ribbon Schur functions, Adv. Math., 204 (1) (2006), 204–240. [BD16] Bishnoi, A. and De Bruyn, B., A new near octagon and the Suzuki tower, Electron. J. Combin., 23 (2) (2016), Paper 2.35, 24. [BD16] Bishnoi, A. and De Bruyn, B., On semi-finite hexagons of order $(2,t)$ containing a subhexagon, Ann. Comb., 20 (3) (2016), 433–452. [BD17] Bishnoi, A. and De Bruyn, B., Characterizations of the Suzuki tower near polygons, Des. Codes Cryptogr., 84 (1-2) (2017), 115–133. [BD17] Bishnoi, A. and De Bruyn, B., On generalized hexagons of order $(3,t)$ and $(4,t)$ containing a subhexagon, European J. Combin., 62 (2017), 115–123. [BD18] Bishnoi, A. and De Bruyn, B., The $\rm L_3(4)$ near octagon, J. Algebraic Combin., 48 (1) (2018), 157–178. [BI17] Bishnoi, A. and Ihringer, F., The non-existence of distance-2 ovoids in $ßfH(4)^D$, Contrib. Discrete Math., 12 (1) (2017), 157–161. [BM17] Bitkina, V. V. and Makhnev, A. A., On the automorphism group of a distance regular graph with intersection array $\35,32,1;1,4,35\$, Algebra Logika, 56 (6) (2017), 671–681. [BGP11] Blanco, V., García-Sánchez, P. A., and Puerto, J., Counting numerical semigroups with short generating functions, Internat. J. Algebra Comput., 21 (7) (2011), 1217–1235. [B10] Bogaerts, M., New upper bounds for the size of permutation codes via linear programming, Electron. J. Combin., 17 (1) (2010), Research Paper 135, 9. [BN19] Bogya, N. and Nagy, G. P., Light dual multinets of order six in the projective plane, Acta Math. Hungar., 159 (2) (2019), 520–536. [BKP19] Bojarski, J., Kisielewicz, A., and Przesławski, K., Nearly neighbourly families of standard boxes, Electron. J. Combin., 26 (4) (2019), Paper No. 4.44, 39. [BG+96] Bokowski, J., Guedes de Oliviera, A., Thiemann, U., and Veloso da Costa, A., On the cube problem of Las Vergnas, Geom. Dedicata, 63 (1) (1996), 25–43. [BB14] Bonisoli, A. and Bonvicini, S., On the existence spectrum for sharply transitive $G$-designs, $G$ a $[k]$-matching, Discrete Math., 332 (2014), 60–68. [BL02] Bonisoli, A. and Labbate, D., One-factorizations of complete graphs with vertex-regular automorphism groups, J. Combin. Des., 10 (1) (2002), 1–16. [BR03] Bonisoli, A. and Rinaldi, G., Primitive collineation groups of ovals with a fixed point, European J. Combin., 24 (7) (2003), 797–807. [B08] Bonvicini, S., Frattini-based starters in 2-groups, Discrete Math., 308 (2-3) (2008), 380–381. [BR10] Bonvicini, S. and Ruini, B., Symmetric bowtie decompositions of the complete graph, Electron. J. Combin., 17 (1) (2010), Research Paper 101, 19. [B19] Bors, A., Finite groups with an automorphism inverting, squaring or cubing a non-negligible fraction of elements, J. Algebra Appl., 18 (3) (2019), 1950055, 30. [BD+09] Boyd, S., Diaconis, P., Parrilo, P., and Xiao, L., Fastest mixing Markov chain on graphs with symmetries, SIAM J. Optim., 20 (2) (2009), 792–819. [B10] Braić, S., Primitive symmetric designs with at most 255 points, Glas. Mat. Ser. III, 45(65) (2) (2010), 291–305. [BG+10] Braić, S., Golemac, A., Mandić, J., and Vučičić, T., Graphs and symmetric designs corresponding to difference sets in groups of order 96, Glas. Mat. Ser. III, 45(65) (1) (2010), 1–14. [BG+10] Braić, S., Golemac, A., Mandić, J., and Vučičić, T., Primitive symmetric designs with prime power number of points, J. Combin. Des., 18 (2) (2010), 141–154. [BG+11] Braić, S., Golemac, A., Mandić, J., and Vučičić, T., Primitive symmetric designs with up to 2500 points, J. Combin. Des., 19 (6) (2011), 463–474. [BMV15] Braić, S., Mandić, J., and Vučičić, T., Primitive block designs with automorphism group $\rm PSL(2,q)$, Glas. Mat. Ser. III, 50(70) (1) (2015), 1–15. [BPR00] Bray, J., Parker, C., and Rowley, P., Cayley type graphs and cubic graphs of large girth, Discrete Math., 214 (1-3) (2000), 113–121. [BC+20] Bray, J. N., Cai, Q., Cameron, P. J., Spiga, P., and Zhang, H., The Hall-Paige conjecture, and synchronization for affine and diagonal groups, J. Algebra, 545 (2020), 27–42. [B20] Breda d'Azevedo, A., Mapification of $n$-dimensional abstract polytopes and hypertopes, Ars Math. Contemp., 18 (1) (2020), 73–86. [BCD15] Breda d'Azevedo, A., Catalano, D. A., and Duarte, R., Regular pseudo-oriented maps and hypermaps of low genus, Discrete Math., 338 (6) (2015), 895–921. [BC+17] Breda d'Azevedo, A., Catalano, D. A., Karabáš, J., and Nedela, R., Quadrangle groups inclusions, Beitr. Algebra Geom., 58 (2) (2017), 369–394. [BD07] Breda d'Azevedo, A. and Duarte, R., Bipartite-uniform hypermaps on the sphere, Electron. J. Combin., 14 (1) (2007), Research Paper 5, 20. [BJ09] Breda D'Azevedo, A. and Jones, G. A., Totally chiral maps and hypermaps of small genus, J. Algebra, 322 (11) (2009), 3971–3996. [BF05] Bretto, A. and Faisant, A., Another way for associating a graph to a group, Math. Slovaca, 55 (1) (2005), 1–8. [BF11] Bretto, A. and Faisant, A., Cayley graphs and $G$-graphs: some applications, J. Symbolic Comput., 46 (12) (2011), 1403–1412. [BFG07] Bretto, A., Faisant, A., and Gillibert, L., $G$-graphs: a new representation of groups, J. Symbolic Comput., 42 (5) (2007), 549–560. [BG+10] Breuer, T., Guralnick, R. M., Lucchini, A., Maróti, A., and Nagy, G. P., Hamiltonian cycles in the generating graphs of finite groups, Bull. Lond. Math. Soc., 42 (4) (2010), 621–633. [BC+20] Bright, C., Cheung, K., Stevens, B., Roy, D., Kotsireas, I., and Ganesh, V., A nonexistence certificate for projective planes of order ten with weight 15 codewords, Appl. Algebra Engrg. Comm. Comput., 31 (3-4) (2020), 195–213. [BR05] Britz, T. and Rutherford, C. G., Covering radii are not matroid invariants, Discrete Math., 296 (1) (2005), 117–120. [BQ+04] Brooksbank, P., Qin, H., Robertson, E., and Seress, Á., On Dowling geometries of infinite groups, J. Combin. Theory Ser. A, 108 (1) (2004), 155–158.
[BKK03] Brouwer, A. E., Koolen, J. H., and Klin, M. H.,
A root graph that is locally the line graph of the Petersen graph,
Discrete Math.,
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