Jump to content
$(function(){PrimeFaces.cw("Dialog","citationDialog",{id:"formSmash:upper:j_idt242",widgetVar:"citationDialog",width:"800",height:"600"});});
$(function(){PrimeFaces.cw("ImageSwitch","widget_formSmash_j_idt1804",{id:"formSmash:j_idt1804",widgetVar:"widget_formSmash_j_idt1804",fx:"fade",speed:500,timeout:8000},"imageswitch");});
#### Open Access in DiVA

####

#### Authority records

Farahbakhsh Touli, Elena
#### Search in DiVA

##### By author/editor

Farahbakhsh Touli, Elena
##### By organisation

Department of Mathematics
On the subject

Engineering and Technology
#### Search outside of DiVA

GoogleGoogle Scholar$(function(){PrimeFaces.cw('Chart','widget_formSmash_j_idt1990_0_downloads',{id:'formSmash:j_idt1990:0:downloads',type:'bar',responsive:true,data:[[9,19]],title:"Downloads of File (FULLTEXT01)",axes:{xaxis: {label:"",renderer:$.jqplot.CategoryAxisRenderer,tickOptions:{angle:-90}},yaxis: {label:"",min:0,max:30,renderer:$.jqplot.LinearAxisRenderer,tickOptions:{angle:0}}},series:[{label:'diva2:1857843'}],ticks:["May -24","Jun -24"],orientation:"vertical",barMargin:50,datatip:true,datatipFormat:"<span style=\"display:none;\">%2$d</span><span>%2$d</span>"},'charts');}); Total: 28 downloads$(function(){PrimeFaces.cw("OverlayPanel","widget_formSmash_j_idt1993",{id:"formSmash:j_idt1993",widgetVar:"widget_formSmash_j_idt1993",target:"formSmash:downloadLink",showEvent:"mousedown",hideEvent:"mousedown",showEffect:"blind",hideEffect:"fade"});}); findCitings = function() {PrimeFaces.ab({s:"formSmash:j_idt1997",f:"formSmash",u:"formSmash:citings",pa:arguments[0]});};$(function() {findCitings();}); $(function(){PrimeFaces.cw('Chart','widget_formSmash_visits',{id:'formSmash:visits',type:'bar',responsive:true,data:[[58,148]],title:"Visits for this publication",axes:{xaxis: {label:"",renderer:$.jqplot.CategoryAxisRenderer,tickOptions:{angle:-90}},yaxis: {label:"",min:0,max:160,renderer:$.jqplot.LinearAxisRenderer,tickOptions:{angle:0}}},series:[{label:'diva2:1857843'}],ticks:["May -24","Jun -24"],orientation:"vertical",barMargin:50,datatip:true,datatipFormat:"<span style=\"display:none;\">%2$d</span><span>%2$d</span>"},'charts');}); Total: 206 hits
$(function(){PrimeFaces.cw("Dialog","citationDialog",{id:"formSmash:lower:j_idt2091",widgetVar:"citationDialog",width:"800",height:"600"});});

CiteExport$(function(){PrimeFaces.cw("TieredMenu","widget_formSmash_upper_j_idt202",{id:"formSmash:upper:j_idt202",widgetVar:"widget_formSmash_upper_j_idt202",autoDisplay:true,overlay:true,my:"left top",at:"left bottom",trigger:"formSmash:upper:exportLink",triggerEvent:"click"});}); $(function(){PrimeFaces.cw("OverlayPanel","widget_formSmash_upper_j_idt209_j_idt212",{id:"formSmash:upper:j_idt209:j_idt212",widgetVar:"widget_formSmash_upper_j_idt209_j_idt212",target:"formSmash:upper:j_idt209:permLink",showEffect:"blind",hideEffect:"fade",my:"right top",at:"right bottom",showCloseIcon:true});});

Graphical Models: Mathematical Foundation and Statistical AnalysisPrimeFaces.cw("AccordionPanel","widget_formSmash_some",{id:"formSmash:some",widgetVar:"widget_formSmash_some",multiple:true}); PrimeFaces.cw("AccordionPanel","widget_formSmash_all",{id:"formSmash:all",widgetVar:"widget_formSmash_all",multiple:true});
function selectAll()
{
var panelSome = $(PrimeFaces.escapeClientId("formSmash:some"));
var panelAll = $(PrimeFaces.escapeClientId("formSmash:all"));
panelAll.toggle();
toggleList(panelSome.get(0).childNodes, panelAll);
toggleList(panelAll.get(0).childNodes, panelAll);
}
/*Toggling the list of authorPanel nodes according to the toggling of the closeable second panel */
function toggleList(childList, panel)
{
var panelWasOpen = (panel.get(0).style.display == 'none');
// console.log('panel was open ' + panelWasOpen);
for (var c = 0; c < childList.length; c++) {
if (childList[c].classList.contains('authorPanel')) {
clickNode(panelWasOpen, childList[c]);
}
}
}
/*nodes have styleClass ui-corner-top if they are expanded and ui-corner-all if they are collapsed */
function clickNode(collapse, child)
{
if (collapse && child.classList.contains('ui-corner-top')) {
// console.log('collapse');
child.click();
}
if (!collapse && child.classList.contains('ui-corner-all')) {
// console.log('expand');
child.click();
}
}
2024 (English)Doctoral thesis, comprehensive summary (Other academic)
##### Abstract [en]

##### Place, publisher, year, edition, pages

Stockholm: Department of Mathematics, Stockholm University , 2024. , p. 36
##### National Category

Engineering and Technology
##### Research subject

Computational Mathematics
##### Identifiers

URN: urn:nbn:se:su:diva-229153ISBN: 978-91-8014-833-7 (print)ISBN: 978-91-8014-834-4 (electronic)OAI: oai:DiVA.org:su-229153DiVA, id: diva2:1857843
##### Public defence

2024-08-22, Cramérrummet (mötesrum 12), hus 1, Albano, Albanovägen 28, Stockholm, 13:00 (English)
##### Opponent

PrimeFaces.cw("AccordionPanel","widget_formSmash_j_idt912",{id:"formSmash:j_idt912",widgetVar:"widget_formSmash_j_idt912",multiple:true});
##### Supervisors

PrimeFaces.cw("AccordionPanel","widget_formSmash_j_idt922",{id:"formSmash:j_idt922",widgetVar:"widget_formSmash_j_idt922",multiple:true});
#####

PrimeFaces.cw("AccordionPanel","widget_formSmash_j_idt943",{id:"formSmash:j_idt943",widgetVar:"widget_formSmash_j_idt943",multiple:true}); Available from: 2024-05-29 Created: 2024-05-14 Last updated: 2024-05-27Bibliographically approved
##### List of papers

Working on different problems related to graph theory combined with statistics is the main purpose of this thesis.

In paper I, we worked on the distance between trees and defined another definition for the interleaving distance that was already introduced for determining the distance between merge trees. The new definition was based on only one map from one of the trees to another one. Therefore, we could gain fixed-parameter tractable algorithms for finding the interleaving distance between merge trees with some conditions.

In paper II, we worked on the clustering coefficient of the networks. The clustering coefficient indicates the tendency of the vertices of the network to form a triangle. We introduced another clustering coefficient, which we called it Relative clustering coefficient. Finally, the importance of the relative clustering coefficient.

In paper III, we worked on the financial relationship between companies in Sweden, and we used two methods (the Pearson correlation coefficient (PCC) and the generalized variance decomposition (GVD). We then ap- plied these methods to the financial data consisting of the daily returns on the 28 stocks included in the computation of the OMX index (the index of the Swedish capital market).

Gaussian Graphical Model is the main subject of paper IV. In this paper, we consider three types of precision matrices, and corresponding to each type of precision matrix, we develop the exact test theory. Finally, the new approaches are compared to the benchmark method via an extensive simulation study.

1. FPT-Algorithms for computing Gromov-Hausdorff and interleaving distances between trees$(function(){PrimeFaces.cw("OverlayPanel","overlay1706384",{id:"formSmash:j_idt1033:0:j_idt1042",widgetVar:"overlay1706384",target:"formSmash:j_idt1033:0:partsLink",showEvent:"mousedown",hideEvent:"mousedown",showEffect:"blind",hideEffect:"fade",appendToBody:true});});

2. Relative clustering coefficient$(function(){PrimeFaces.cw("OverlayPanel","overlay1857837",{id:"formSmash:j_idt1033:1:j_idt1042",widgetVar:"overlay1857837",target:"formSmash:j_idt1033:1:partsLink",showEvent:"mousedown",hideEvent:"mousedown",showEffect:"blind",hideEffect:"fade",appendToBody:true});});

3. Monitoring the Dynamic Networks of Stock Returns with an Application to the Swedish Stock Market$(function(){PrimeFaces.cw("OverlayPanel","overlay1857839",{id:"formSmash:j_idt1033:2:j_idt1042",widgetVar:"overlay1857839",target:"formSmash:j_idt1033:2:partsLink",showEvent:"mousedown",hideEvent:"mousedown",showEffect:"blind",hideEffect:"fade",appendToBody:true});});

4. Exact test theory in Gaussian graphical models$(function(){PrimeFaces.cw("OverlayPanel","overlay1857842",{id:"formSmash:j_idt1033:3:j_idt1042",widgetVar:"overlay1857842",target:"formSmash:j_idt1033:3:partsLink",showEvent:"mousedown",hideEvent:"mousedown",showEffect:"blind",hideEffect:"fade",appendToBody:true});});

isbn
urn-nbn$(function(){PrimeFaces.cw("Tooltip","widget_formSmash_j_idt2020",{id:"formSmash:j_idt2020",widgetVar:"widget_formSmash_j_idt2020",showEffect:"fade",hideEffect:"fade",showDelay:500,hideDelay:300,target:"formSmash:altmetricDiv"});});

CiteExport$(function(){PrimeFaces.cw("TieredMenu","widget_formSmash_lower_j_idt2073",{id:"formSmash:lower:j_idt2073",widgetVar:"widget_formSmash_lower_j_idt2073",autoDisplay:true,overlay:true,my:"left top",at:"left bottom",trigger:"formSmash:lower:exportLink",triggerEvent:"click"});}); $(function(){PrimeFaces.cw("OverlayPanel","widget_formSmash_lower_j_idt2074_j_idt2076",{id:"formSmash:lower:j_idt2074:j_idt2076",widgetVar:"widget_formSmash_lower_j_idt2074_j_idt2076",target:"formSmash:lower:j_idt2074:permLink",showEffect:"blind",hideEffect:"fade",my:"right top",at:"right bottom",showCloseIcon:true});});