On a Hopf Algebra in Graph Theory

Bar-Natan, 1995, On the Vassiliev knot invariants, Topology, 34, 423, 10.1016/0040-9383(95)93237-2 Bar-Natan, 1996, On the Melvin–Morton–Rozansky conjecture, Invent. Math., 125, 103, 10.1007/s002220050070 Birman, 1993, Knot polynomials and Vassiliev invariants, Invent. Math., 111, 225, 10.1007/BF01231287 Bouchet, 1987, Reducing prime graphs and recognizing circle graphs, Combinatorica, 7, 243, 10.1007/BF02579301 S. V. Chmutov, and, S. V. Duzhin, The Kontsevich integral, 1997, preprint; available from anonymous, ftp: ftp.botik.ru/pub/local/zmr/ki.ps.gz. Chmutov, 1994, Vassiliev knot invariants. I Chmutov, 1994, Vassiliev knot invariants. III. Forest algebra and weighted graphs Chmutov, 1997, Remarks on the Vassiliev knot invariants coming from sl2, Topology, 36, 153, 10.1016/0040-9383(95)00071-2 Golumbic, 1980 Joni, 1982, Coalgebras and bialgebras in combinatorics, 6 J. A. Kneissler, The number of primitive Vassiliev invariants up to degree twelve, preprint, 1997. Kontsevich, 1993, Vassiliev's knot invariants Lando, 1998, Tutte decomposition for graphs, weighted graphs and symmetric matrices, 10.1090/trans2/185/09 Lando, 1997, On primitive elements in the bialgebra of chord diagrams, 10.1090/trans2/180/13 Milnor, 1965, On the structure of Hopf algebras, Am. Math., 81, 211 S. D. Noble, and, D. J. A. Welsh, Weighted graphs and Vassiliev invariants, preprint, October 16, 1997. E. S. Soboleva, Vassiliev knot invariants coming from Lie algebras and 4-invariants, preprint, 2000. Sweedler, 1969 Tutte, 1947, A ring in graph theory, Proc. Cambridge Philos. Soc., 43, 26, 10.1017/S0305004100023173 Vassiliev, 1990, Cohomology of knot spaces