Quantum invariants of links and 3-valent graphs in 3-manifolds
Vladimir Turaev (1993)
Publications Mathématiques de l'IHÉS
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Vladimir Turaev (1993)
Publications Mathématiques de l'IHÉS
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Saoud, Mahmoud, Al-Khanaifes, Kaled (2009)
Acta Universitatis Apulensis. Mathematics - Informatics
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Luigi Grasselli (1987)
Disertaciones Matemáticas del Seminario de Matemáticas Fundamentales
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Glock, Janina (2006)
Sibirskie Ehlektronnye Matematicheskie Izvestiya [electronic only]
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Li, Wenbo V., Zhang, Xinyi (2010)
Electronic Journal of Probability [electronic only]
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Abu-Saleem, M. (2010)
APPS. Applied Sciences
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Piotr Rudnicki, Lorna Stewart (2012)
Formalized Mathematics
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Harary [10, p. 7] claims that Veblen [20, p. 2] first suggested to formalize simple graphs using simplicial complexes. We have developed basic terminology for simple graphs as at most 1-dimensional complexes. We formalize this new setting and then reprove Mycielski’s [12] construction resulting in a triangle-free graph with arbitrarily large chromatic number. A different formalization of similar material is in [15].
Hetyei, Gábor (2001)
Acta Mathematica Academiae Paedagogicae Nyí regyháziensis. New Series [electronic only]
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Pedersen, Anders Sune (2011)
The Electronic Journal of Combinatorics [electronic only]
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Montágh, Balázs (2009)
Acta Universitatis Sapientiae. Mathematica
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Fronček, D. (2000)
Acta Mathematica Universitatis Comenianae. New Series
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Sudhir R. Jog, Satish P. Hande, Ivan Gutman, S. Burcu Bozkurt (2012)
Kragujevac Journal of Mathematics
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N. R. Santhi Maheswari, C. Sekar (2012)
Kragujevac Journal of Mathematics
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Luigi Grasselli (1990)
Revista Matemática de la Universidad Complutense de Madrid
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We describe a combinatorial algorithm for constructing all orientable 3-manifolds with a given standard bidimensional spine by making use of the idea of bijoin (Bandieri and Gagliardi (1982), Graselli (1985)) over a suitable pseudosimplicial triangulation of the spine.