{"id":12243,"date":"2018-03-19T09:23:47","date_gmt":"2018-03-19T07:23:47","guid":{"rendered":"https:\/\/www.pmfst.unist.hr\/odjel-za-matematiku\/grupa-za-kombinatornu-i-diskretnu-matematiku-2\/"},"modified":"2021-04-29T09:20:28","modified_gmt":"2021-04-29T07:20:28","slug":"grupa-za-kombinatornu-i-diskretnu-matematiku-2","status":"publish","type":"post","link":"https:\/\/www.pmfst.unist.hr\/odjel-za-matematiku\/grupa-za-kombinatornu-i-diskretnu-matematiku-2\/","title":{"rendered":"Grupa za kombinatornu i diskretnu matematiku"},"content":{"rendered":"
[vc_row][vc_column width=”1\/3″][mk_title_box color=”#1e73be” margin_bottom=”0″ font_family=”none”]Voditeljica grupe<\/b>[\/mk_title_box][mk_employees style=”boxed” column=”1″ employees=”11924″][mk_title_box color=”#1e73be” margin_bottom=”0″ font_family=”none”]\u010clanovi grupe<\/b>[\/mk_title_box][mk_employees style=”boxed” column=”1″ employees=”11937″][mk_employees style=”boxed” column=”1″ employees=”11933″][mk_employees style=”boxed” column=”1″ employees=”11921″][mk_employees style=”boxed” column=”1″ employees=”12165″][vc_column_text css=”.vc_custom_1619679938652{margin-bottom: 0px !important;}”]\n
    \n
  • Tanja Vu\u010di\u010di\u0107, u mirovini<\/li>\n<\/ul>\n[\/vc_column_text][\/vc_column][vc_column width=”2\/3″][mk_title_box color=”#1e73be” font_family=”none”]Odjel\/Katedra: <\/strong>
    \nOdjel za matematiku[\/mk_title_box][vc_column_text css=”.vc_custom_1520591712979{margin-bottom: 0px !important;}”]\n

    Podru\u010dje istra\u017eivanja:<\/h4>\n

    – Diskretna matematika i kombinatorika
    \n– Teorija dizajna
    \n[\/vc_column_text][vc_column_text css=”.vc_custom_1619679822683{margin-bottom: 0px !important;}”]\n

    Opis istra\u017eivanja:<\/h4>\n

    Na\u0161e istra\u017eivanje je usmjereno na razli\u010dite kombinatorne strukture: t-dizajne, simetri\u010dne dizajne, diferencijske skupove, parcijalne diferencijske skupove, jako regularne grafove i flag-tranzitivne incidencijske structure. Istra\u017euju se njihova svojstva, me\u0111usobne veze i metode za konstrukciju, te se radi na njihovoj klasifikaciji.<\/p>\n

    Problemu klasifikacije pristupamo pretpostavljaju\u0107i djelovanje kona\u010dne grupe automorfizama na razmatranu strukturu, te zadavanjem razli\u010ditih uvjeta na to djelovanje. Tranzitivnost djelovanja grupe se pokazuje posebno zanimljivim uvjetom, primjerice tranzitivnost po to\u010dkama, po blokovima, po incidencijama ili vi\u0161estruka tranzitivnost. Tranzitivna permutacijska grupa mo\u017ee djelovati primitivno ili imprimitivno. Razmatramo oba ta djelovanja, kako teoretski tako i ra\u010dunalno. Za ra\u010dun s permutacijskim grupama koristimo poznate sustave GAP i MAGMU.<\/p>\n

    Razvili smo nove konstrukcijske metode za simetri\u010dne dizajne, diferencijske skupove i flag-tranzitivne incidencijske strukture.[\/vc_column_text][vc_column_text css=”.vc_custom_1619679973781{margin-bottom: 0px !important;}”]\n

    Kontakti s akademskim i drugim institucijama:<\/strong><\/h4>\n
      \n
    • Odjel za matematiku, Sveu\u010dili\u0161te u Rijeci<\/li>\n
    • PMF \u2013 Matemati\u010dki odsjek, Sveu\u010dili\u0161te u Zagrebu<\/li>\n
    • FER – Sveu\u010dili\u0161te u Zagrebu<\/li>\n<\/ul>\n[\/vc_column_text][vc_column_text css=”.vc_custom_1619679985547{margin-bottom: 0px !important;}”]\n

      Opis dosada\u0161nje suradnje:<\/strong><\/h4>\n

      \u010clanovi ove znanstveno-istra\u017eiva\u010dke grupe i istra\u017eiva\u010di sa suradni\u010dkih institucija su u okviru odgovaraju\u0107ih srodnih seminara odr\u017eali vi\u0161e izlaganja kao gosti ili kao doma\u0107ini. Sura\u0111ivali su u vi\u0161e istra\u017eivanja i u prijavljivanju znanstvenih projekata iz podru\u010dja diskretne i kombinatorne matematike.[\/vc_column_text][vc_column_text css=”.vc_custom_1619679999092{margin-bottom: 0px !important;}”]\n

      Planovi budu\u0107ih istra\u017eivanja:<\/strong><\/h4>\n

      Unutar istra\u017eivanja \u0107e se razvijati teorija flag-tranzitivnih dizajna koji su zanimljivi s geometrijskog gledi\u0161ta jer dopu\u0161taju velike grupe automorfizama. Naglasak \u0107e biti stavljen na imprimitino djelovanje grupe automorfizama. O\u010dekuje se da \u0107e ovo dovesti do razvoja novih algoritama za konstrukciju dizajna. Namjeravamo pokazati primjenu dobivenih algoritama na konstrukciju nekih konkretnih i posebnih dizajna. Od posebnog interesa su simetri\u010dni, flag-tranzitivni dizajni.<\/p>\n

      Na tragu nekih otvorenih pitanja ciljamo pojedine klasifikacije flag-tranzitivnih dizajna ostvariti indirektno prelaskom na odgovaraju\u0107e flag-transitivne incidencijske strukture i bridno-tranzitivne bipartitne grafove. \u0160tovi\u0161e, u nekim problemima se mogu pojaviti bridno-tranzitivni grafovi.[\/vc_column_text][vc_column_text css=”.vc_custom_1619680019403{margin-bottom: 0px !important;}”]\n

      Popis odabranih znanstvenih radova:<\/h4>\n
        \n
      1. Brai\u0107, A. Golemac, J. Mandi\u0107 and T. Vu\u010di\u010di\u0107, Primitive Symmetric Designs with Prime Power Number of Points, Journal of Combinatorial Designs, 18, (2010), 141-154.<\/li>\n
      2. Brai\u0107, A. Golemac, J. Mandi\u0107 and T. Vu\u010di\u010di\u0107, Graphs and Symmetric designs corresponding to difference sets in groups of order 96, Glasnik matemati\u010dki, Vol. 45 (65) (2010), 1-14.<\/li>\n
      3. Brai\u0107: Primitive Symmetric Designs with at most 255 Points, Glasnik matemati\u010dki Vol. 45 (65), No. 2 (2010), 291-305.<\/li>\n
      4. Brai\u0107, A. Golemac, J. Mandi\u0107 and T. Vu\u010di\u010di\u0107, Primitive Symmetric Designs with up to 2500 Points, Journal of Combinatorial Designs, 19, (2011), 463-474.<\/li>\n
      5. Mandi\u0107, M. O. Pav\u010devi\u0107 and K. Tabak, On difference sets in high exponential 2-groups, Journal of Algebraic Combinatorics 38 (2013), 785-795.<\/li>\n
      6. Brai\u0107, J. Mandi\u0107 and T. Vu\u010di\u010di\u0107, Primitive Block Designs with Automorphism Group PSL(2,q), Glasnik matemati\u010dki, Vol. 50, No.1 (2015), 1-15.<\/li>\n
      7. Mandi\u0107 and T. Vu\u010di\u010di\u0107, On the existence of Hadamard difference sets in groups of order 400, Advances in Mathematics of Communications, Vol. 10, No. 3 (2016), 547-554.<\/li>\n
      8. Brai\u0107, J. Mandi\u0107 and T. Vu\u010di\u010di\u0107, Flag-transitive block designs with automorphism group S-n wr S-2, Discrete mathematics, 341 (2018), 8; 2220-2230.<\/li>\n
      9. Vu\u010di\u010di\u0107, Hadamard difference sets and related combinatorial objects in groups of order 144, Rad Hrvatske akademije znanosti i umjetnosti, Razred za matemati\u010dke, fizi\u010dke i kemijske znanosti. Matemati\u010dke znanosti, 23 (2019), 13-29.<\/li>\n<\/ol>\n[\/vc_column_text][\/vc_column][\/vc_row]\n<\/div>","protected":false},"excerpt":{"rendered":"

        [vc_row][vc_column width=”1\/3″][mk_title_box color=”#1e73be” margin_bottom=”0″ font_family=”none”]Voditeljica grupe[\/mk_title_box][mk_employees style=”boxed” column=”1″ employees=”11924″][mk_title_box color=”#1e73be” margin_bottom=”0″ font_family=”none”]\u010clanovi grupe[\/mk_title_box][mk_employees style=”boxed” column=”1″ employees=”11937″][mk_employees style=”boxed” column=”1″ employees=”11933″][mk_employees style=”boxed” column=”1″ employees=”11921″][mk_employees style=”boxed” column=”1″ employees=”12165″][vc_column_text css=”.vc_custom_1619679938652{margin-bottom: 0px !important;}”] Tanja Vu\u010di\u010di\u0107, u mirovini [\/vc_column_text][\/vc_column][vc_column width=”2\/3″][mk_title_box color=”#1e73be” font_family=”none”]Odjel\/Katedra: Odjel za matematiku[\/mk_title_box][vc_column_text css=”.vc_custom_1520591712979{margin-bottom: 0px !important;}”] Podru\u010dje istra\u017eivanja: – Diskretna matematika i kombinatorika – Teorija dizajna [\/vc_column_text][vc_column_text css=”.vc_custom_1619679822683{margin-bottom: 0px […]<\/p>\n","protected":false},"author":1,"featured_media":12253,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"rs_blank_template":"","rs_page_bg_color":"","slide_template_v7":"","footnotes":""},"categories":[54,3],"tags":[],"class_list":["post-12243","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-istrazivacke-grupe","category-odjel-za-matematiku-istrazivacka-grupa"],"acf":[],"yoast_head":"\nGrupa za kombinatornu i diskretnu matematiku - Odjel za matematiku<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/www.pmfst.unist.hr\/odjel-za-matematiku\/grupa-za-kombinatornu-i-diskretnu-matematiku-2\/\" \/>\n<meta property=\"og:locale\" content=\"hr_HR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Grupa za kombinatornu i diskretnu matematiku - Odjel za matematiku\" \/>\n<meta property=\"og:description\" content=\"[vc_row][vc_column width=”1\/3″][mk_title_box color=”#1e73be” margin_bottom=”0″ font_family=”none”]Voditeljica grupe[\/mk_title_box][mk_employees style=”boxed” column=”1″ employees=”11924″][mk_title_box color=”#1e73be” margin_bottom=”0″ font_family=”none”]\u010clanovi grupe[\/mk_title_box][mk_employees style=”boxed” column=”1″ employees=”11937″][mk_employees style=”boxed” column=”1″ employees=”11933″][mk_employees style=”boxed” column=”1″ employees=”11921″][mk_employees style=”boxed” column=”1″ employees=”12165″][vc_column_text css=”.vc_custom_1619679938652{margin-bottom: 0px !important;}”] Tanja Vu\u010di\u010di\u0107, u mirovini [\/vc_column_text][\/vc_column][vc_column width=”2\/3″][mk_title_box color=”#1e73be” font_family=”none”]Odjel\/Katedra: Odjel za matematiku[\/mk_title_box][vc_column_text css=”.vc_custom_1520591712979{margin-bottom: 0px !important;}”] Podru\u010dje istra\u017eivanja: – Diskretna matematika i kombinatorika – Teorija dizajna [\/vc_column_text][vc_column_text css=”.vc_custom_1619679822683{margin-bottom: 0px […]\" \/>\n<meta property=\"og:url\" content=\"https:\/\/www.pmfst.unist.hr\/odjel-za-matematiku\/grupa-za-kombinatornu-i-diskretnu-matematiku-2\/\" \/>\n<meta property=\"og:site_name\" content=\"Odjel za matematiku\" \/>\n<meta property=\"article:published_time\" content=\"2018-03-19T07:23:47+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2021-04-29T07:20:28+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/www.pmfst.unist.hr\/odjel-za-matematiku\/wp-content\/uploads\/sites\/24\/2021\/04\/grupa_kombinatornaidiskretnamatematika.jpg\" \/>\n\t<meta property=\"og:image:width\" content=\"564\" \/>\n\t<meta property=\"og:image:height\" content=\"564\" \/>\n\t<meta property=\"og:image:type\" content=\"image\/jpeg\" \/>\n<meta name=\"author\" content=\"autor\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Napisao\/la\" \/>\n\t<meta name=\"twitter:data1\" content=\"autor\" \/>\n\t<meta name=\"twitter:label2\" content=\"Procijenjeno vrijeme \u010ditanja\" \/>\n\t<meta name=\"twitter:data2\" content=\"3 minute\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\\\/\\\/schema.org\",\"@graph\":[{\"@type\":\"Article\",\"@id\":\"https:\\\/\\\/www.pmfst.unist.hr\\\/odjel-za-matematiku\\\/grupa-za-kombinatornu-i-diskretnu-matematiku-2\\\/#article\",\"isPartOf\":{\"@id\":\"https:\\\/\\\/www.pmfst.unist.hr\\\/odjel-za-matematiku\\\/grupa-za-kombinatornu-i-diskretnu-matematiku-2\\\/\"},\"author\":{\"name\":\"autor\",\"@id\":\"https:\\\/\\\/www.pmfst.unist.hr\\\/odjel-za-matematiku\\\/#\\\/schema\\\/person\\\/8c4957fe31fd46303be41a1bd068040a\"},\"headline\":\"Grupa za kombinatornu i diskretnu matematiku\",\"datePublished\":\"2018-03-19T07:23:47+00:00\",\"dateModified\":\"2021-04-29T07:20:28+00:00\",\"mainEntityOfPage\":{\"@id\":\"https:\\\/\\\/www.pmfst.unist.hr\\\/odjel-za-matematiku\\\/grupa-za-kombinatornu-i-diskretnu-matematiku-2\\\/\"},\"wordCount\":737,\"commentCount\":0,\"image\":{\"@id\":\"https:\\\/\\\/www.pmfst.unist.hr\\\/odjel-za-matematiku\\\/grupa-za-kombinatornu-i-diskretnu-matematiku-2\\\/#primaryimage\"},\"thumbnailUrl\":\"https:\\\/\\\/www.pmfst.unist.hr\\\/odjel-za-matematiku\\\/wp-content\\\/uploads\\\/sites\\\/24\\\/2021\\\/04\\\/grupa_kombinatornaidiskretnamatematika.jpg\",\"articleSection\":[\"Istra\u017eiva\u010dke grupe\",\"Odjel za matematiku\"],\"inLanguage\":\"hr\",\"potentialAction\":[{\"@type\":\"CommentAction\",\"name\":\"Comment\",\"target\":[\"https:\\\/\\\/www.pmfst.unist.hr\\\/odjel-za-matematiku\\\/grupa-za-kombinatornu-i-diskretnu-matematiku-2\\\/#respond\"]}]},{\"@type\":\"WebPage\",\"@id\":\"https:\\\/\\\/www.pmfst.unist.hr\\\/odjel-za-matematiku\\\/grupa-za-kombinatornu-i-diskretnu-matematiku-2\\\/\",\"url\":\"https:\\\/\\\/www.pmfst.unist.hr\\\/odjel-za-matematiku\\\/grupa-za-kombinatornu-i-diskretnu-matematiku-2\\\/\",\"name\":\"Grupa za kombinatornu i diskretnu matematiku - 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