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MR1470722 57N10 (57M10)
Luecke, John; Wu, Ying-Qing Relative Euler number and finite covers of graph manifolds. Geometric topology (Athens, GA, 1993), 80–103, AMS/IP Stud. Adv. Math., 2.1, Amer. Math. Soc., Providence, RI, 1997.
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