In [Discr. Math. 57 (1985), 261-284], Lins and Mandel introduce a class of 3-manifolds represented by 4-coloured graphs S(b,l,t,c) depending on a 4-tuple (b,l,t,c) of positive integers; moreover, they prove that, if the following conditions hold $(b,c)=1$, $(l,t)=1$, $c=(-1)^t$ if l odd, then S(b,l,t,c) is a crystallization of an (orientable) 3-manifold.In this paper we show that the above conditions are also necessary: hence, they characterize crystallizations among Lins-Mandel graphs.

Characterizing crystallizations among Lins-Mandel 4-coloured graphs / Casali, Maria Rita; Grasselli, Luigi. - In: RENDICONTI DEL CIRCOLO MATEMATICO DI PALERMO. - ISSN 0009-725X. - STAMPA. - 18:(1988), pp. 221-228.

Characterizing crystallizations among Lins-Mandel 4-coloured graphs

CASALI, Maria Rita;GRASSELLI, Luigi
1988

Abstract

In [Discr. Math. 57 (1985), 261-284], Lins and Mandel introduce a class of 3-manifolds represented by 4-coloured graphs S(b,l,t,c) depending on a 4-tuple (b,l,t,c) of positive integers; moreover, they prove that, if the following conditions hold $(b,c)=1$, $(l,t)=1$, $c=(-1)^t$ if l odd, then S(b,l,t,c) is a crystallization of an (orientable) 3-manifold.In this paper we show that the above conditions are also necessary: hence, they characterize crystallizations among Lins-Mandel graphs.
18
221
228
Characterizing crystallizations among Lins-Mandel 4-coloured graphs / Casali, Maria Rita; Grasselli, Luigi. - In: RENDICONTI DEL CIRCOLO MATEMATICO DI PALERMO. - ISSN 0009-725X. - STAMPA. - 18:(1988), pp. 221-228.
Casali, Maria Rita; Grasselli, Luigi
File in questo prodotto:
Non ci sono file associati a questo prodotto.
Pubblicazioni consigliate

Caricamento pubblicazioni consigliate

Licenza Creative Commons
I metadati presenti in IRIS UNIMORE sono rilasciati con licenza Creative Commons CC0 1.0 Universal, mentre i file delle pubblicazioni sono rilasciati con licenza Attribuzione 4.0 Internazionale (CC BY 4.0), salvo diversa indicazione.
In caso di violazione di copyright, contattare Supporto Iris

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11380/450774
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 0
  • ???jsp.display-item.citation.isi??? ND
social impact