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MR1405839 (97d:05081) 05C10 (05C35)
Hobbs, Arthur M.; Miller, Zevi Total closure in outerplanar graphs. Graph theory, combinatorics, and algorithms, Vol. 1, 2 (Kalamazoo, MI, 1992), 557--577, Wiley-Intersci. Publ., Wiley, New York, 1995.
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