CiteExport$(function(){PrimeFaces.cw("TieredMenu","widget_formSmash_upper_j_idt152",{id:"formSmash:upper:j_idt152",widgetVar:"widget_formSmash_upper_j_idt152",autoDisplay:true,overlay:true,my:"left top",at:"left bottom",trigger:"formSmash:upper:exportLink",triggerEvent:"click"});}); $(function(){PrimeFaces.cw("OverlayPanel","widget_formSmash_upper_j_idt153_j_idt155",{id:"formSmash:upper:j_idt153:j_idt155",widgetVar:"widget_formSmash_upper_j_idt153_j_idt155",target:"formSmash:upper:j_idt153:permLink",showEffect:"blind",hideEffect:"fade",my:"right top",at:"right bottom",showCloseIcon:true});});

On the connectivity of manifold graphsPrimeFaces.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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2015 (English)In: Proceedings of the American Mathematical Society, ISSN 0002-9939, E-ISSN 1088-6826, Vol. 143, no 10, p. 4123-4132Article in journal (Refereed) Published
##### Abstract [en]

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

American Mathematical Society (AMS), 2015. Vol. 143, no 10, p. 4123-4132
##### National Category

Discrete Mathematics
##### Identifiers

URN: urn:nbn:se:kth:diva-140322DOI: 10.1090/proc/12415Scopus ID: 2-s2.0-84938252347OAI: oai:DiVA.org:kth-140322DiVA, id: diva2:689558
#####

PrimeFaces.cw("AccordionPanel","widget_formSmash_j_idt451",{id:"formSmash:j_idt451",widgetVar:"widget_formSmash_j_idt451",multiple:true});
#####

PrimeFaces.cw("AccordionPanel","widget_formSmash_j_idt457",{id:"formSmash:j_idt457",widgetVar:"widget_formSmash_j_idt457",multiple:true});
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PrimeFaces.cw("AccordionPanel","widget_formSmash_j_idt463",{id:"formSmash:j_idt463",widgetVar:"widget_formSmash_j_idt463",multiple:true});
##### Funder

Knut and Alice Wallenberg Foundation
##### Note

##### In thesis

This paper is concerned with lower bounds for the connectivity of graphs (one-dimensional skeleta) of triangulations of compact manifolds. We introduce a structural invariant b_M for simplicial d-manifolds M taking values in the range 0 <= b_M <= d-1. The main result is that b_M influences connectivity in the following way: The graph of a d-dimensional simplicial compact manifold M is (2d - b_M)-connected. The parameter b_M has the property that b_M = 0 if the complex M is flag. Hence, our result interpolates between Barnette's theorem (1982) that all d-manifold graphs are (d+1)-connected and Athanasiadis' theorem (2011) that flag d-manifold graphs are 2d-connected. The definition of b_M involves the concept of banner triangulations of manifolds, a generalization of flag triangulations.

QC 20160602

Available from: 2014-01-21 Created: 2014-01-21 Last updated: 2017-12-06Bibliographically approved1. Connectivity and embeddability of buildings and manifolds$(function(){PrimeFaces.cw("OverlayPanel","overlay689576",{id:"formSmash:j_idt738:0:j_idt742",widgetVar:"overlay689576",target:"formSmash:j_idt738:0:parentLink",showEvent:"mousedown",hideEvent:"mousedown",showEffect:"blind",hideEffect:"fade",appendToBody:true});});

doi
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