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CORRELATION OF PATHS BETWEEN DISTINCT VERTICES IN A RANDOMLY ORIENTED GRAPHPrimeFaces.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});
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Number of Authors: 2
PrimeFaces.cw("AccordionPanel","widget_formSmash_responsibleOrgs",{id:"formSmash:responsibleOrgs",widgetVar:"widget_formSmash_responsibleOrgs",multiple:true}); 2015 (English)In: Mathematica Scandinavica, ISSN 0025-5521, E-ISSN 1903-1807, Vol. 116, no 2, 287-300 p.Article in journal (Refereed) Published
##### Abstract [en]

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

2015. Vol. 116, no 2, 287-300 p.
##### National Category

Mathematics
##### Research subject

Mathematics
##### Identifiers

URN: urn:nbn:se:su:diva-120489ISI: 000358751500006OAI: oai:DiVA.org:su-120489DiVA: diva2:852856
#####

PrimeFaces.cw("AccordionPanel","widget_formSmash_j_idt976",{id:"formSmash:j_idt976",widgetVar:"widget_formSmash_j_idt976",multiple:true});
#####

PrimeFaces.cw("AccordionPanel","widget_formSmash_j_idt987",{id:"formSmash:j_idt987",widgetVar:"widget_formSmash_j_idt987",multiple:true});
#####

PrimeFaces.cw("AccordionPanel","widget_formSmash_j_idt998",{id:"formSmash:j_idt998",widgetVar:"widget_formSmash_j_idt998",multiple:true});
Available from: 2015-09-10 Created: 2015-09-10 Last updated: 2017-12-04Bibliographically approved
##### In thesis

We prove that in a random tournament the events {s -> a} (meaning that there is a directed path from s to a) and {t -> b} are positively correlated, for distinct vertices a, s, b,t is an element of K-n. It is also proven that the correlation between the events {s -> a} and {t -> b} in the random graphs G(n, p) and G(n, m) with random orientation is positive for every fixed p > 0 and sufficiently large n (with m = Is left perpendicularp((n)(2))left perpendicular). We conjecture it to be positive for all p and all n. An exact recursion for P({s -> a} boolean AND {t -> b} in G(n, p) is given.

1. Combinatorics of stable polynomials and correlation inequalities$(function(){PrimeFaces.cw("OverlayPanel","overlay915712",{id:"formSmash:j_idt1375:0:j_idt1379",widgetVar:"overlay915712",target:"formSmash:j_idt1375:0:parentLink",showEvent:"mousedown",hideEvent:"mousedown",showEffect:"blind",hideEffect:"fade",appendToBody:true});});

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CiteExport$(function(){PrimeFaces.cw("TieredMenu","widget_formSmash_lower_j_idt1889",{id:"formSmash:lower:j_idt1889",widgetVar:"widget_formSmash_lower_j_idt1889",autoDisplay:true,overlay:true,my:"left top",at:"left bottom",trigger:"formSmash:lower:exportLink",triggerEvent:"click"});}); $(function(){PrimeFaces.cw("OverlayPanel","widget_formSmash_lower_j_idt1890_j_idt1892",{id:"formSmash:lower:j_idt1890:j_idt1892",widgetVar:"widget_formSmash_lower_j_idt1890_j_idt1892",target:"formSmash:lower:j_idt1890:permLink",showEffect:"blind",hideEffect:"fade",my:"right top",at:"right bottom",showCloseIcon:true});});