{"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":"2021-03-24T12:31:50","modified_gmt":"2021-03-24T11:31:50","slug":"grupa-za-teoriju-grafova-i-primijene","status":"publish","type":"post","link":"https:\/\/www.pmfst.unist.hr\/znanost\/grupa-za-teoriju-grafova-i-primijene\/","title":{"rendered":"Teorija grafova i primijene"},"content":{"rendered":"<div class=\"wpb-content-wrapper\">[vc_row][vc_column width=&#8221;1\/4&#8243;][mk_title_box color=&#8221;#1e73be&#8221; font_family=&#8221;none&#8221;]<strong>Odjel\/Katedra: <\/strong><\/p>\n<p>Odjel za matematiku[\/mk_title_box][mk_employees style=&#8221;boxed&#8221; column=&#8221;1&#8243; employees=&#8221;18607&#8243;][\/vc_column][vc_column width=&#8221;3\/4&#8243;][vc_column_text css=&#8221;.vc_custom_1520591712979{margin-bottom: 0px !important;}&#8221;]\n<h4>Podru\u010dje istra\u017eivanja:<\/h4>\n<p>&#8211; Teorija grafova<br \/>\n&#8211; Kompleksne mre\u017ee<br \/>\n&#8211; Matemati\u010dka kemija<br \/>\n&#8211; Algoritmi<br \/>\n&#8211; Diskretna matematika<br \/>\n[\/vc_column_text][vc_column_text css=&#8221;.vc_custom_1520591748316{margin-bottom: 0px !important;}&#8221;]\n<h4>Opis istra\u017eivanja:<\/h4>\n<p>U fokusu istra\u017eivanja ove grupe su:<br \/>\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<br \/>\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;<br \/>\n3) kompleksne mre\u017ee s naglaskom na multiplekse, kurikulske mre\u017ee, mre\u017ene deskriptore, mre\u017ee u ekonomiji;<br \/>\n4) matemati\u010dka kemija s naglaskom na molekuske deskriptore, nanotehnologiju, peptidne antibiotike;<br \/>\n5) diskretna matematika.<br \/>\n[\/vc_column_text][\/vc_column][\/vc_row][vc_row][vc_column][vc_column_text css=&#8221;.vc_custom_1520591959083{margin-bottom: 0px !important;}&#8221;]\n<h4><strong>Kontakti s akademskim i drugim institucijama:<\/strong><\/h4>\n<p>&#8211; GERAD, Montreal, Canada<br \/>\n&#8211; HEC Montr\u00e9al, Canada<br \/>\n&#8211; Institut Ru\u0111er Bo\u0161kovi\u0107, Zagreb, Hrvatska<br \/>\n&#8211; Langzhou University, China<br \/>\n&#8211; Sveu\u010dili\u0161te u Ljubljani, Ljubljana, Slovenija<br \/>\n&#8211; Sveu\u010dili\u0161te u Kragujevcu, Karagujevac, Srbija<br \/>\n&#8211; Sveu\u010dili\u0161te u Osijeku, Osijek, Hrvatska<br \/>\n&#8211; University of Susex, Brighton, United Kingdom<br \/>\n&#8211; University of Galveston, USA<br \/>\n&#8211; Univerity of Trieste, Trieste, Italy<br \/>\n[\/vc_column_text][\/vc_column][\/vc_row][vc_row][vc_column][vc_column_text css=&#8221;.vc_custom_1520591973324{margin-bottom: 0px !important;}&#8221;]\n<h4><strong>Opis dosada\u0161nje suradnje:<\/strong><\/h4>\n<p>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.<br \/>\n[\/vc_column_text][vc_column_text css=&#8221;.vc_custom_1521113815978{margin-bottom: 0px !important;}&#8221;]\n<h4><strong>Planovi budu\u0107ih istra\u017eivanja:<\/strong><\/h4>\n<p>O\u010dekuju se daljnja znanstvena istra\u017eivanja i me\u0111usobni znanstveni susreti. [\/vc_column_text][\/vc_column][\/vc_row][vc_row][vc_column][mk_icon_box icon=&#8221;mk-moon-stack-list&#8221; title=&#8221;POPIS ODABRANIH ZNANSTVENIH RADOVA&#8221; read_more_txt=&#8221;Posjeti&#8221; read_more_url=&#8221;https:\/\/scholar.google.hr\/citations?user=4pAM3SUAAAAJ&amp;hl=en&#8221; style=&#8221;boxed&#8221; icon_circle_color=&#8221;&#8221;][\/mk_icon_box][\/vc_column][\/vc_row][vc_row disable_element=&#8221;yes&#8221;][vc_column][vc_column_text css=&#8221;.vc_custom_1520603890149{margin-bottom: 0px !important;}&#8221;]\n<h4>Popis odabranih znanstvenih radova:<\/h4>\n<p>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.<br \/>\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.<br \/>\n3) Hansen P. I Vuki\u010devi\u0107 D. (2007) Comparing the Zagreb Indices, Croat. Chem. Acta, 80 (2) 165-168.<br \/>\n4) Vuki\u010devi\u0107 D. (2007) Comparing variable Zagreb indices, MATCH Commun. Math. Comput. Chem, 57 (3) 633-641.<br \/>\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.<br \/>\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.<br \/>\n7) Furtula B., Graovac A., Vuki\u010devi\u0107 D. (2009) Atom-bond connectivity index of trees, Discrete Appl. Math, 157 (13) 2828-2835.<br \/>\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.<br \/>\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.<br \/>\n10) Furtula B., Graovac A. and Vuki\u010devi\u0107 D. (2010) Augmented Zagreb index, J. Math. Chem, 48 (2) 395-400.<br \/>\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.<br \/>\n12) Vuki\u010devi\u0107 D. and Ga\u0161perov M. (2010) Bond Additive Modelling 1. Adriatic Indices, Croat. Chem. Acta, 83 (3) 243-260.<br \/>\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.<br \/>\n14) Vuki\u010devi\u0107 D. (2011) Bond Additive Modeling 6. Randomness vs. Design, MATCH Commun. Math. Comput. Chem, 65 415-426.<br \/>\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.<br \/>\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.<br \/>\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.<br \/>\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.<br \/>\n19) Antunovi\u0107 S., Kokan T., Vojkovi\u0107 T., Vuki\u010devi\u0107 D. (2013) Generalised Network Descriptors, Glasnik Matemati\u010dki, 48 (2013) 211-230.<br \/>\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":"<p>[vc_row][vc_column width=&#8221;1\/4&#8243;][mk_title_box color=&#8221;#1e73be&#8221; font_family=&#8221;none&#8221;]Odjel\/Katedra: Odjel za matematiku[\/mk_title_box][mk_employees style=&#8221;boxed&#8221; column=&#8221;1&#8243; employees=&#8221;18607&#8243;][\/vc_column][vc_column width=&#8221;3\/4&#8243;][vc_column_text css=&#8221;.vc_custom_1520591712979{margin-bottom: 0px !important;}&#8221;] Podru\u010dje istra\u017eivanja: &#8211; Teorija grafova &#8211; Kompleksne mre\u017ee &#8211; Matemati\u010dka kemija &#8211; Algoritmi &#8211; Diskretna matematika [\/vc_column_text][vc_column_text css=&#8221;.vc_custom_1520591748316{margin-bottom: 0px !important;}&#8221;] Opis istra\u017eivanja: U fokusu istra\u017eivanja ove grupe su: 1) teorija grafova s naglaskom na ekstremalnu teoriju grafova; ekstremalna teorija grafova istra\u017euje [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":1252,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"footnotes":""},"categories":[11,26],"tags":[],"poredak":[],"class_list":["post-1249","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-odjel-za-matematiku","category-samostalna-istrazivanja"],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.7 - 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