{ "id": "math/0212322", "version": "v2", "published": "2002-12-23T14:44:56.000Z", "updated": "2012-06-09T20:48:57.000Z", "title": "A Resistance Bound via an Isoperimetric Inequality", "authors": [ "Itai Benjamini", "Gady Kozma" ], "categories": [ "math.PR", "math.CO" ], "abstract": "An isoperimetric upper bound on the resistance is given. As a corollary we resolve two problems, regarding mean commute time on finite graphs and resistance on percolation clusters. Further conjectures are presented.", "revisions": [ { "version": "v2", "updated": "2012-06-09T20:48:57.000Z" } ], "analyses": { "keywords": [ "isoperimetric inequality", "resistance bound", "isoperimetric upper bound", "regarding mean commute time", "finite graphs" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2002math.....12322B" } } }