The proof of, and generalisations to, a conjecture by Baker and Essam

✍ Scribed by S. Cardy

• Publisher: Elsevier Science
• Year: 1973
• Tongue: English
• Weight: 830 KB
• Volume: 4
• Category: Article
• ISSN: 0012-365X
• DOI: 10.1016/0012-365x(73)90073-3

✦ Synopsis

Abatnct. 'Ihe weak snd strong &-weights of a combinarorial gcomctry WC defined and reInlion-Sips between these cOnslants and other properlies of gcomctries arc obtarncd. In particular. it is shown that a geometry has cohesion n if and only if the weak k-wcrghls satisfy , =o hlCsk(4)fl' 1 forI<I<tr: TO far,=## Similar results are obtained for the conneclrviry of a gcomctry. and a separate discussion is &en of the cohesion and conmctivity of lincrr graphs.