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Decomposition of organophosphorus compounds on photoactivated TiO2 surfaces

✍ Scribed by Carole K. Grätzel; Marie Jirousek; Michael Grätzel


Publisher
Elsevier Science
Year
1990
Weight
693 KB
Volume
60
Category
Article
ISSN
0304-5102

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Decomposition of Graphs on Surfaces
✍ Maurits de Graaf; Alexander Schrijver 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 266 KB

dedicated to professor w. t. tutte on the occasion of his eightieth birthday Let G=(V, E) be an Eulerian graph embedded on a triangulizable surface S. We show that E can be decomposed into closed curves C 1 , ..., C k such that mincr(G, D)= k i=1 mincr(C i , D) for each closed curve D on S. Here min