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Invariants de Vassiliev pour les entrelacs dans S³ et dans les variétés de dimension trois
, 1998
"... Algebra, Pergamon (1970), 329358. [Dri] V. G. Drinfeld, On quasitriangular quasiHopf algebras and a group closely connected with Gal(Q=Q), Algebra i Analiz 2:4 (1990), 149181. English transl.: Leningrad Math. J. 2 (1991), 829860. [Kas] C. Kassel, Quantum groups, GTM 155, SpringerVerlag, New ..."
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Algebra, Pergamon (1970), 329358. [Dri] V. G. Drinfeld, On quasitriangular quasiHopf algebras and a group closely connected with Gal(Q=Q), Algebra i Analiz 2:4 (1990), 149181. English transl.: Leningrad Math. J. 2 (1991), 829860. [Kas] C. Kassel, Quantum groups, GTM 155, SpringerVerlag, New York 1995. [KaT] C. Kassel and V. Turaev, Chord diagram invariants of tangles and graphs, Duke Math. J. 92, no. 3 (1998), 497552. [LM1] T. Q. T. Le and J. Murakami, Kontsevich integral for Kauffman polynomial, preprint MaxPlanckInstitut Bonn, 1993. [LM2] T. Q. T. Le and J. Murakami, The universal VassilievKontsevich invariant for framed oriented links, Comp. Math. 102 (1996), 4164. [LM3] T. Q. T. Le and J. Murakami, Parallel version of the universal Vassiliev Kontsevich invariant, J. Pure and Appl. Algebra 121 (1997), 271291. [LMO] T. Q. T. Le, J. Murakami and T. Ohtsuki, On a universal perturbative invariant of 3manifolds, Topology 373 (1998), 539574. [Prz] J. H. Przytyck...
TemperleyLieb Algebras And The FourColor Theorem
"... The TemperleyLieb algebra Tn with parameter 2 is the associative algebra over Q generated by 1, e0, el,..., en, where the generators satisfy the rela 2 = 2el, eiejei = ei if [i j[ = 1 and eiej = ejei if [i j[ > 2. We tions i  use the Four Color Theorem to give a necessary and sufficient con ..."
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The TemperleyLieb algebra Tn with parameter 2 is the associative algebra over Q generated by 1, e0, el,..., en, where the generators satisfy the rela 2 = 2el, eiejei = ei if [i j[ = 1 and eiej = ejei if [i j[ > 2. We tions i  use the Four Color Theorem to give a necessary and sufficient condition for certain elements of Tn to be nonzero. It turns out that the characterization is, in fact, equivalent to the Four Color Theorem.
An octonion model for physics
 in Proc. of ECHO IV
, 2000
"... The nozerodivisor division algebra of highest possible dimension over the reals is taken as a model for various physical and mathematical phenomena mostly related to the Four Color Conjecture. A geometric form of associativity is the common thread. ..."
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The nozerodivisor division algebra of highest possible dimension over the reals is taken as a model for various physical and mathematical phenomena mostly related to the Four Color Conjecture. A geometric form of associativity is the common thread.
Graph Planarity and Related Topics
 GRAPH DRAWING (PROC. GD ’99)
, 1999
"... This compendium is the result of reformatting and minor editing of the author's transparencies for his talk delivered at the conference. The talk covered Euler's Formula, Kuratowski's Theorem, linear planarity tests, Schnyder's Theorem and drawing on the grid, the two paths problem, Pfaffian ori ..."
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This compendium is the result of reformatting and minor editing of the author's transparencies for his talk delivered at the conference. The talk covered Euler's Formula, Kuratowski's Theorem, linear planarity tests, Schnyder's Theorem and drawing on the grid, the two paths problem, Pfaffian orientations, linkless embeddings, and the Four Color Theorem.