Geodesic
The Average Edge Order of 3-Manifold Coloured Triangulations
Canadian mathematical bulletin, Tome 37 (1994) no. 2, pp. 154-161

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DOI

If K is a triangulation of a closed 3-manifold M with E0 (K) edges and F0 (K) triangles, then the average edge order of K is defined to be In [8], the relations between this quantity and the topology of M are investigated, especially in the case of μ0 (K) being small (where the study relies on Oda's classification of triangulations of S2 up to eight vertices—see [9]). In the present paper, the attention is fixed upon the average edge order of coloured triangulations; surprisingly enough, the obtained results are perfectly analogous to Luo-Stong' ones, and may be proved with little effort by means of edge-coloured graphs representing manifolds.
DOI : 10.4153/CMB-1994-022-x
Mots-clés : 57Q15, 05C10, 57M15 
Casali, Maria Rita. The Average Edge Order of 3-Manifold Coloured Triangulations. Canadian mathematical bulletin, Tome 37 (1994) no. 2, pp. 154-161. doi: 10.4153/CMB-1994-022-x
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     title = {The {Average} {Edge} {Order} of {3-Manifold} {Coloured} {Triangulations}},
     journal = {Canadian mathematical bulletin},
     pages = {154--161},
     year = {1994},
     volume = {37},
     number = {2},
     doi = {10.4153/CMB-1994-022-x},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1994-022-x/}
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