Mathematische Zeitschrift

, Volume 236, Issue 1, pp 23–42 | Cite as

Representing products of manifolds by edge-coloured graphs: the boundary case

  • Paola Bandieri
  • Marzia Rivi
Original article


In this paper we generalize the construction - introduced by Gagliardi and Grasselli in the closed case - of a coloured-graph representing the product of two manifolds, starting by two coloured graphs representing the manifolds themselves, to the boundary case. In particular we study the genus of the graph product of low dimensional manifold ( resp. n-spheres ) with m-disks.

Mathematics Subject Classification (1991): 57M15, 57Q15, 05C10 


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Copyright information

© Springer-Verlag Berlin Heidelberg 2000

Authors and Affiliations

  • Paola Bandieri
    • 1
  • Marzia Rivi
    • 2
  1. 1.Dipartimento di Matematica “G. Vitali”, Via Campi 213/B, I-41100 Modena, Italia (e-mail: IT
  2. 2.Dipartimento di Matematica “U. Dini”, Viale Morgagni 67/A, I-50134 Firenze, Italia (e-mail: IT

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