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Convex Sets in Lexicographic Products of Graphs |
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| Authors: | Bijo S Anand Manoj Changat Sandi Klav?ar Iztok Peterin |
| Institution: | 1. Department of Futures Studies, University of Kerala, Trivandrum, 695034, India 2. Faculty of Mathematics and Physics, University of Ljubljana, Ljubljana, Slovenia 3. Faculty of Natural Sciences and Mathematics, University of Maribor, Maribor, Slovenia 4. Institute of Mathematics and Physics, FEECS, University of Maribor, Maribor, Slovenia |
| Abstract: | Geodesic convex sets, Steiner convex sets, and J-convex (alias induced path convex) sets of lexicographic products of graphs are characterized. The geodesic case in particular rectifies Theorem 3.1 in Canoy and Garces (Graphs Combin 18(4):787–793, 2002). |
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