Ricci-flat cubic graphs with girth five

نویسندگان

چکیده

We classify all connected, simple, 3-regular graphs with girth at least 5 that are Ricci-flat. use the definition of Ricci curvature on given in Lin-Lu-Yau, Tohoku Math., 2011, which is a variation Ollivier, J. Funct. Anal., 2009. A graph Ricci-flat, if it has vanishing edges. show, only Ricci-flat cubic Petersen graph, Triplex and dodecahedral graph. This will correct classification Comm. Anal. Geom., 2014, misses Triplex.

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ژورنال

عنوان ژورنال: Communications in Analysis and Geometry

سال: 2021

ISSN: ['1019-8385', '1944-9992']

DOI: https://doi.org/10.4310/cag.2021.v29.n7.a3