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Ring graphs and toric ideals

Affiliation:	1. Department of Mathematics, Loyola College, Chennai 600034, India;2. Department of Mathematics, Sri Sairam Institute of Technology, Chennai 600044, India;3. Faculty of Mathematics and Physics, University of Ljubljana, Slovenia;4. Faculty of Natural Sciences and Mathematics, University of Maribor, Slovenia;5. Institute of Mathematics, Physics and Mechanics, Ljubljana, Slovenia;6. Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Vellore 632014, India;7. School of Molecular Sciences, Arizona State University, Tempe AZ 85287-1604, USA

Abstract:	We study the family of simple graphs whose number of primitive cycles equals its cycle rank. Then we study toric ideals of simple and oriented graphs.

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