[1] Brylawski, Thomas H. A combinatorial model for series-parallel networks. Trans. Amer. Math. Soc. 154 1971 1--22.
[2] Brylawski, Thomas H. The Möbius function on geometric lattices as a decomposition invariant. Möbius algebras (Proc. Conf., Univ. Waterloo, Waterloo, Ont., 1971), pp. 143--148. Univ. Waterloo, Waterloo, Ont., 1971.
[3] Brylawski, Thomas H. A decomposition for combinatorial geometries. Trans. Amer. Math. Soc. 171 (1972), 235--282.
[4] Brylawski, T. H. The Tutte-Grothendieck ring. Algebra Universalis 2 (1972), 375--388.
[5] Brylawski, Thomas The lattice of integer partitions. Discrete Math. 6 (1973), 201--219.
[6] Brylawski, Thomas H. Some properties of basic families of subsets. Discrete Math. 6 (1973), 333--341.
[7] Brylawski, Thomas H. Reconstructing combinatorial geometries. Graphs and combinatorics (Proc. Capital Conf., George Washington Univ., Washington, D.C., 1973), pp. 226--235. Lecture Notes in Math., Vol. 406, Springer, Berlin, 1974.
[8] Brylawski, Thomas H. Experiment 34: An Appendix in color mixing, and Experiment 36: Mirrors and symmetry. Experiments in Physics and Art 1974 141--142, and 156--192.
[9] Brylawski, Tom Modular constructions for combinatorial geometries. Trans. Amer. Math. Soc. 203 (1975), 1--44.
[10] Brylawski, Tom A note on Tutte's unimodular representation theorem. Proc. Amer. Math. Soc. 52 (1975), 499--502.
[11] Brylawski, Tom On the nonreconstructibility of combinatorial geometries. J. Combinatorial Theory Ser. B 19 (1975), no. 1, 72--76.
[12] Brylawski, Thomas H. An affine representation for transversal geometries. Studies in Appl. Math. 54 (1975), no. 2, 143--160.
[13] Brylawski, T. H. A combinatorial perspective on the Radon convexity theorem. Geometriae Dedicata 5 (1976), no. 4, 459--466.
[14] Brylawski, Tom A determinantal identity for resistive networks. SIAM J. Appl. Math. 32 (1977), no. 2, 443--449.
[15] Brylawski, Thomas H.; Lucas, T.D. Uniquely representable combinatorial geometries. Atti dei Convegni Lincei 17, Tomo I 1976 83--104.
[16] Brylawski, Tom Connected matroids with the smallest Whitney numbers. Discrete Math. 18 (1977), no. 3, 243--252.
[17] Brylawski, Tom The broken-circuit complex. Trans. Amer. Math. Soc. 234 (1977), no. 2, 417--433.
[18] Brylawski, Thomas H. Combinatorial theory (article and original artwork). Encyclopedia of Science and Technology 4th and 5th editions, 8 pages, McGraw-Hill, 1977 and 1980.
[19] Brylawski, Thomas H. Geometria combinatorie e loro applicazioni, and Funzioni di Möbius, and Teoria dei codici e matroidi, and Matroidi coordinabili. University of Rome Lecture Series 1977.
[20] Brylawski, Tom; Kelly, Douglas G. Matroids and combinatorial geometries. Studies in combinatorics, pp. 179--217. MAA Studies in Math., 17, Math. Assoc. America, Washington, D.C., 1978.
[21] Brylawski, Tom Intersection theory for embeddings of matroids into uniform geometries. Stud. Appl. Math. 61 (1979), no. 3, 211--244.
[22] Brylawski, T.; Kelly, D. Matroids and combinatorial geometries. Carolina Lecture Series. University of North Carolina, Department of Mathematics, Chapel Hill, N.C., 1980. iv+149 pp.
[23] Brylawski, Tom The affine dimension of the space of intersection matrices. Rend. Mat. (6) 13 (1980), no. 1, 59--68.
[24] Brylawski, Tom; Oxley, James Several identities for the characteristic polynomial of a combinatorial geometry. Discrete Math. 31 (1980), no. 2, 161--170.
[25] Brylawski, T.; Lo Re, P. M.; Mazzocca, F.; Olanda, D. Some applications of the intersection theory to Galois geometry. (Italian) Ricerche Mat. 29 (1980), no. 1, 65--84.
[26] Brylawski, Tom Intersection theory for graphs. J. Combin. Theory Ser. B 30 (1981), no. 2, 233--246.
[27] Brylawski, Tom; Oxley, James The broken-circuit complex: its structure and factorizations. European J. Combin. 2 (1981), no. 2, 107--121.
[28] Brylawski, Thomas H. Hyperplane reconstruction of the Tutte polynomial of a geometric lattice. Discrete Math. 35 (1981), 25--38.
[29] Brylawski, Tom Finite prime-field characteristic sets for planar configurations. Linear Algebra Appl. 46 (1982), 155--176.
[30] Brylawski, Thomas The Tutte polynomial. I. General theory. Matroid theory and its applications, 125--275, Liguori, Naples, 1982.
[31] Brylawski, Tom Iterated parallel union of matroids. Rend. Sem. Mat. Fis. Milano 53 (1983), 229--244 (1986).
[32] Brylawski, Tom Coordinatizing the Dilworth truncation. Matroid theory (Szeged, 1982), 61--95, Colloq. Math. Soc. János Bolyai, 40, North-Holland, Amsterdam, 1985.
[33] Brylawski, Thomas Constructions. Theory of matroids, 127--223, Encyclopedia Math. Appl., 26, Cambridge Univ. Press, Cambridge, 1986.
[34] Brylawski, Thomas Appendix of matroid cryptomorphisms. Theory of matroids, 298--316, Encyclopedia Math. Appl., 26, Cambridge Univ. Press, Cambridge, 1986.
[35] Brylawski, Tom Blocking sets and the Möbius function. Symposia Mathematica, Vol. XXVIII (Rome, 1983), 231--249, Sympos. Math., XXVIII, Academic Press, London, 1986.
[36] Brylawski, Thomas H.; Dieter, Elaine Exchange systems. Discrete Math. 69 (1988), no. 2, 123--151.
[37] Brylawski, Thomas Greedy families for linear objective functions. Stud. Appl. Math. 84 (1991), no. 3, 221--229.
[38] Brylawski, T. Matroid blocking sets. Combinatorics '88, Vol. 2 (Ravello, 1988), 11--37, Res. Lecture Notes Math., Mediterranean, Rende, 1991.
[39] Brylawski, Thomas; Oxley, James The Tutte polynomial and its applications. Matroid applications, 123--225, Encyclopedia Math. Appl., 40, Cambridge Univ. Press, Cambridge, 1992.
[40] Brylawski, Thomas H.; Ziegler, Günter M. Topological representation of dual pairs of oriented matroids. Discrete Comput. Geom.> 10 (1993), no. 3, 237--240.
[41] Brylawski, Thomas H.; Jeffrey T. Sheats Stratified parameter spaces for isohedral dirichlet tilings. Preprint 1994.
[42] Brylawski, Thomas H. A conjecture on rank-preserving weak map images (in Open Problems). Contemporary Mathematics 197 1996 p. 412.
[43] Brylawski, T.; Varchenko, A. The determinant formula for a matroid bilinear form. Adv. Math. 129 (1997), no. 1, 1--24.
[44] Brylawski, T. A Möbius identity arising from modularity in a matroid bilinear form. In memory of Gian-Carlo Rota. J. Combin. Theory Ser. A 91 (2000), no. 1-2, 622--639.
In honor of Tom's love of Möbius inversion, we note that 44 = 38 + 41 - 35.
Here 38 is the number of publications listed by MathSci as of 8/1/07 when "Brylawski, T*" is entered into the 'author' field.
And 41 is the number of papers listed on the most recent (c1998) math department vita for Tom which is readily available on 8/1/07.
The 6 entries above from the vita which are not listed by MathSci are numbers 8, 15, 18, 19, 41, 42.
The 3 entries above from MathSci which are not listed on the vita are numbers 34, 40,44.