{"id":1249,"date":"2018-03-15T12:55:21","date_gmt":"2018-03-15T11:55:21","guid":{"rendered":"https:\/\/www.pmfst.unist.hr\/znanost\/?p=1249"},"modified":"2021-03-25T08:33:35","modified_gmt":"2021-03-25T07:33:35","slug":"grupa-za-teoriju-grafova-i-primijene","status":"publish","type":"post","link":"https:\/\/www.pmfst.unist.hr\/odjel-za-matematiku\/grupa-za-teoriju-grafova-i-primijene\/","title":{"rendered":"Teorija grafova i primijene"},"content":{"rendered":"
[vc_row][vc_column width=”1\/5″][mk_employees column=”1″ rounded_image=”false” grayscale_image=”false” employees=”1507″][\/vc_column][vc_column width=”1\/5″][mk_title_box color=”#1e73be” font_family=”none”]Odjel\/Katedra: <\/strong><\/p>\n

Odjel za matematiku[\/mk_title_box][vc_column_text css=”.vc_custom_1520591712979{margin-bottom: 0px !important;}”]\n

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

– Teorija grafova
\n– Kompleksne mre\u017ee
\n– Matemati\u010dka kemija
\n– Algoritmi
\n– Diskretna matematika
\n[\/vc_column_text][\/vc_column][vc_column width=”3\/5″][vc_column_text css=”.vc_custom_1520591748316{margin-bottom: 0px !important;}”]\n

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

U fokusu istra\u017eivanja ove grupe su:
\n1) teorija grafova s naglaskom na ekstremalnu teoriju grafova; ekstremalna teorija grafova istra\u017euje maksimume i minimume graf teorijskih invarijanata na odabranim klasama grafova, primjerice: na grafovima s propisanim brojem vrhova, stablima s propisanim brojem vrhova, kemijskim grafovima s propisanim brojem vrhova,\u2026
\n2) algoritme s naglaskom na algoritme iz teorije grafova, teorije kompleksnih mre\u017ea i primjena kombinatornih struktura koji omogu\u0107uju bolje razumijevanje promatranih grafova, nala\u017eenje optimalnih grafova i optimizaciju danih grafova;
\n3) kompleksne mre\u017ee s naglaskom na multiplekse, kurikulske mre\u017ee, mre\u017ene deskriptore, mre\u017ee u ekonomiji;
\n4) matemati\u010dka kemija s naglaskom na molekuske deskriptore, nanotehnologiju, peptidne antibiotike;
\n5) diskretna matematika.
\n[\/vc_column_text][\/vc_column][\/vc_row][vc_row][vc_column][vc_column_text css=”.vc_custom_1520591959083{margin-bottom: 0px !important;}”]\n

Kontakti s akademskim i drugim institucijama:<\/strong><\/h4>\n

– GERAD, Montreal, Canada
\n– HEC Montr\u00e9al, Canada
\n– Institut Ru\u0111er Bo\u0161kovi\u0107, Zagreb, Hrvatska
\n– Langzhou University, China
\n– Sveu\u010dili\u0161te u Ljubljani, Ljubljana, Slovenija
\n– Sveu\u010dili\u0161te u Kragujevcu, Karagujevac, Srbija
\n– Sveu\u010dili\u0161te u Osijeku, Osijek, Hrvatska
\n– University of Susex, Brighton, United Kingdom
\n– University of Galveston, USA
\n– Univerity of Trieste, Trieste, Italy
\n[\/vc_column_text][\/vc_column][\/vc_row][vc_row][vc_column][vc_column_text css=”.vc_custom_1520591973324{margin-bottom: 0px !important;}”]\n

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

Sa znanstvenicima na navedenim institucijama su provedene zajedni\u010dka istra\u017eivanja \u010diji su rezultati publicirani u brojnim uglednim znanstvenim \u010dasopisima. Ostvareni su i me\u0111usobni znanstveni posjeti koji su doprinijeli razmijeni znanja i iskustava, te tako unaprijedili znanstveno istra\u017eivanje suradnika.
\n[\/vc_column_text][vc_column_text css=”.vc_custom_1521113815978{margin-bottom: 0px !important;}”]\n

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

O\u010dekuju se daljnja znanstvena istra\u017eivanja i me\u0111usobni znanstveni susreti. [\/vc_column_text][\/vc_column][\/vc_row][vc_row][vc_column][vc_column_text css=”.vc_custom_1520603890149{margin-bottom: 0px !important;}”]\n

Popis odabranih znanstvenih radova:<\/h4>\n

1) Do\u0161li\u0107 T. i Vuki\u010devi\u0107 D. (2007) Computing Bipartite Edge Frustration of Fullerne Graphs, Discrete Appl. Math, 155 (10) 1294-1301.
\n2) Randi\u0107 M., Kroto H. i Vuki\u010devi\u0107 D. (2007) Numerical Kekul\u00e9 Strucutres and Partitioning of \u03c0-Electrons to Pentagonal and Hexagonal Rings, J. Chem. Inf. Model, 47 897-904.
\n3) Hansen P. I Vuki\u010devi\u0107 D. (2007) Comparing the Zagreb Indices, Croat. Chem. Acta, 80 (2) 165-168.
\n4) Vuki\u010devi\u0107 D. (2007) Comparing variable Zagreb indices, MATCH Commun. Math. Comput. Chem, 57 (3) 633-641.
\n5) Vuki\u010devi\u0107 D. i \u017digert P. (2008) Binary Coding of Algebraic Kekule Structures of Catacondensed Benzenoid Graphs, Appl. Math. Lett, 21 (7) 712-716.
\n6) Kutnar K., Maru\u0161i\u0107 D. i Vuki\u010devi\u0107 D. (2009), On decompositions of leapfrog Fullerenes, J. Math. Chem, 45 (2) 406-416.
\n7) Furtula B., Graovac A., Vuki\u010devi\u0107 D. (2009) Atom-bond connectivity index of trees, Discrete Appl. Math, 157 (13) 2828-2835.
\n8) Jureti\u0107 D., Vuki\u010devi\u0107 D., Ili\u0107 N., Antcheva N. and Tossi A. (2009) Design of selective peptide antibiotics by using the sequence moment concept, J. Chem. Inf. Model, 49 (12) 2873\u20132882.
\n9) Hansen P. and Vuki\u010devi\u0107 D. (2009) Variable Neighborhood Search for Extremal Graphs. 23. On the Randi\u0107 Index and Chromatic Number, Discrete Math, 309 (13) 4228-4234.
\n10) Furtula B., Graovac A. and Vuki\u010devi\u0107 D. (2010) Augmented Zagreb index, J. Math. Chem, 48 (2) 395-400.
\n11) Rajtmajer S. M., Vuki\u010devi\u0107 D. (2010) A Note on the Estrada Communicability Algorithm for Detecting Community Structure in Complex Networks, Applied Mathematics and Computation, Appl. Math. Comput. 217 3516\u20133521.
\n12) Vuki\u010devi\u0107 D. and Ga\u0161perov M. (2010) Bond Additive Modelling 1. Adriatic Indices, Croat. Chem. Acta, 83 (3) 243-260.
\n13) Vuki\u010devi\u0107 D. and Pisanski T. (2010) On the extremal values of ratios of number of paths, Ars Math. Contemp, 3 215\u2013235.
\n14) Vuki\u010devi\u0107 D. (2011) Bond Additive Modeling 6. Randomness vs. Design, MATCH Commun. Math. Comput. Chem, 65 415-426.
\n15) D. Vuki\u010devi\u0107, J. \u0110ur\u0111evi\u0107 (2011) Bond additive modelling 10. Upper and lower bounds of bond incident degree indices of catacondensed fluoranthenes, Chem. Phys. Lett, 515 186-189.
\n16) Sedlar J., Vuki\u010devi\u0107 D., Hansen P. (2011) Using size for bounding expressions of graph invariants, Ann. Oper. Res, 188 (1) 415-427.
\n17) Caporossi G, Paiva M., Vuki\u010devi\u0107 D., Segatto M. (2012) Centrality and Betweenness: Vertex and Edge Decomposition of the Wiener Index, MATCH Commun. Math. Comput. Chem, 68 293-302.
\n18) Vuki\u010devi\u0107 D., Caporossi G. (2013) Network descriptors based on betweenness centrality and transmission and their extremal values, Discrete Applied Mathematics, 161 2678-2686.
\n19) Antunovi\u0107 S., Kokan T., Vojkovi\u0107 T., Vuki\u010devi\u0107 D. (2013) Generalised Network Descriptors, Glasnik Matemati\u010dki, 48 (2013) 211-230.
\n20) Govor\u010din J., \u0160krekovski R., Vuka\u0161inovi\u0107 V., Vuki\u010devi\u0107 D. (2016) A measure for a balanced workload and its extremal values, Discrete Applied Mathematics, 200 59-66.<\/p>\n[\/vc_column_text][\/vc_column][\/vc_row]\n<\/div>","protected":false},"excerpt":{"rendered":"

[vc_row][vc_column width=”1\/5″][mk_employees column=”1″ rounded_image=”false” grayscale_image=”false” employees=”1507″][\/vc_column][vc_column width=”1\/5″][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: – Teorija grafova – Kompleksne mre\u017ee – Matemati\u010dka kemija – Algoritmi – Diskretna matematika [\/vc_column_text][\/vc_column][vc_column width=”3\/5″][vc_column_text css=”.vc_custom_1520591748316{margin-bottom: 0px !important;}”] Opis istra\u017eivanja: U fokusu istra\u017eivanja ove grupe su: 1) teorija grafova s naglaskom na ekstremalnu teoriju grafova; ekstremalna teorija […]<\/p>\n","protected":false},"author":1,"featured_media":1392,"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":[4],"tags":[],"class_list":["post-1249","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-samostalna-istrazivanja"],"acf":[],"yoast_head":"\nTeorija grafova i primijene - 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-teoriju-grafova-i-primijene\/\" \/>\n<meta property=\"og:locale\" content=\"hr_HR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Teorija grafova i primijene - Odjel za matematiku\" \/>\n<meta property=\"og:description\" content=\"[vc_row][vc_column width=”1\/5″][mk_employees column=”1″ rounded_image=”false” grayscale_image=”false” employees=”1507″][\/vc_column][vc_column width=”1\/5″][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: – Teorija grafova – Kompleksne mre\u017ee – Matemati\u010dka kemija – Algoritmi – Diskretna matematika [\/vc_column_text][\/vc_column][vc_column width=”3\/5″][vc_column_text css=”.vc_custom_1520591748316{margin-bottom: 0px !important;}”] Opis istra\u017eivanja: U fokusu istra\u017eivanja ove grupe su: 1) teorija grafova s naglaskom na ekstremalnu teoriju grafova; ekstremalna teorija […]\" \/>\n<meta property=\"og:url\" content=\"https:\/\/www.pmfst.unist.hr\/odjel-za-matematiku\/grupa-za-teoriju-grafova-i-primijene\/\" \/>\n<meta property=\"og:site_name\" content=\"Odjel za matematiku\" \/>\n<meta property=\"article:published_time\" content=\"2018-03-15T11:55:21+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2021-03-25T07:33:35+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/www.pmfst.unist.hr\/odjel-za-matematiku\/wp-content\/uploads\/sites\/24\/2018\/03\/graf-1024x489.png\" \/>\n\t<meta property=\"og:image:width\" content=\"1024\" \/>\n\t<meta property=\"og:image:height\" content=\"489\" \/>\n\t<meta property=\"og:image:type\" content=\"image\/png\" \/>\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=\"4 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-teoriju-grafova-i-primijene\/#article\",\"isPartOf\":{\"@id\":\"https:\/\/www.pmfst.unist.hr\/odjel-za-matematiku\/grupa-za-teoriju-grafova-i-primijene\/\"},\"author\":{\"name\":\"autor\",\"@id\":\"https:\/\/www.pmfst.unist.hr\/odjel-za-matematiku\/#\/schema\/person\/8c4957fe31fd46303be41a1bd068040a\"},\"headline\":\"Teorija grafova i primijene\",\"datePublished\":\"2018-03-15T11:55:21+00:00\",\"dateModified\":\"2021-03-25T07:33:35+00:00\",\"mainEntityOfPage\":{\"@id\":\"https:\/\/www.pmfst.unist.hr\/odjel-za-matematiku\/grupa-za-teoriju-grafova-i-primijene\/\"},\"wordCount\":810,\"commentCount\":0,\"image\":{\"@id\":\"https:\/\/www.pmfst.unist.hr\/odjel-za-matematiku\/grupa-za-teoriju-grafova-i-primijene\/#primaryimage\"},\"thumbnailUrl\":\"https:\/\/www.pmfst.unist.hr\/odjel-za-matematiku\/wp-content\/uploads\/sites\/24\/2018\/03\/graf-1024x489.png\",\"articleSection\":[\"Samostalna istra\u017eivanja\"],\"inLanguage\":\"hr\",\"potentialAction\":[{\"@type\":\"CommentAction\",\"name\":\"Comment\",\"target\":[\"https:\/\/www.pmfst.unist.hr\/odjel-za-matematiku\/grupa-za-teoriju-grafova-i-primijene\/#respond\"]}]},{\"@type\":\"WebPage\",\"@id\":\"https:\/\/www.pmfst.unist.hr\/odjel-za-matematiku\/grupa-za-teoriju-grafova-i-primijene\/\",\"url\":\"https:\/\/www.pmfst.unist.hr\/odjel-za-matematiku\/grupa-za-teoriju-grafova-i-primijene\/\",\"name\":\"Teorija grafova i primijene - 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