zbMATH — the first resource for mathematics

Geometry Search for the term Geometry in any field. Queries are case-independent.
Funct* Wildcard queries are specified by * (e.g. functions, functorial, etc.). Otherwise the search is exact.
"Topological group" Phrases (multi-words) should be set in "straight quotation marks".
au: Bourbaki & ti: Algebra Search for author and title. The and-operator & is default and can be omitted.
Chebyshev | Tschebyscheff The or-operator | allows to search for Chebyshev or Tschebyscheff.
"Quasi* map*" py: 1989 The resulting documents have publication year 1989.
so: Eur* J* Mat* Soc* cc: 14 Search for publications in a particular source with a Mathematics Subject Classification code (cc) in 14.
"Partial diff* eq*" ! elliptic The not-operator ! eliminates all results containing the word elliptic.
dt: b & au: Hilbert The document type is set to books; alternatively: j for journal articles, a for book articles.
py: 2000-2015 cc: (94A | 11T) Number ranges are accepted. Terms can be grouped within (parentheses).
la: chinese Find documents in a given language. ISO 639-1 language codes can also be used.

a & b logic and
a | b logic or
!ab logic not
abc* right wildcard
"ab c" phrase
(ab c) parentheses
any anywhere an internal document identifier
au author, editor ai internal author identifier
ti title la language
so source ab review, abstract
py publication year rv reviewer
cc MSC code ut uncontrolled term
dt document type (j: journal article; b: book; a: book article)
Handbook of combinatorics. Vol. 1-2. (English) Zbl 0833.05001
Amsterdam: Elsevier (North-Holland); Cambridge, MA: MIT Press. cii, 2198 p. Dfl. 480.00 (1995).
[The articles of this volume will be reviewed individually.] This comprehensive handbook of combinatorics consists of two volumes divided up in five parts: Structures, Aspects, Methods, Application, and Horizons. Volume I consists of Chapters 1 through 20: 1. Basic graph theory: Paths and circuits by J. A. Bondy, pp. 3-110; 2. Connectivity and network flows by A. Frank, 111-177; 3. Matchings and extensions by W. R. Pulleyblank, 179-232; 4. Colouring, stable sets and perfect graphs by B. Toft, 233- 288; Appendix to Chapter 4: Nowhere zero flows by P. D. Seymour, 289-299; 5. Embeddings and minors by C. Thomassen, 301-349; 6. Random graphs by M. Karoński, 351-380; 7. Hypergraphs by P. Duchet, 381-432; 8. Partially ordered sets by W. T. Trotter, 433-480; 9. Matroids: Fundamental concepts by D. J. A. Welsh, 481-526; 10. Matroid minors by P. D. Seymour, 527-550; 11. Matroid optimization and algorithms by R. E. Bixby and W. H. Cunningham, 551-609; 12. Permutation groups by P. J. Cameron, 611-645; 13. Finite geometries by P. J. Cameron, 647-691; 14. Block designs by A. E. Brouwer; 693-745; 15. Association schemes by A. E. Brouwer and W. H. Haemers, 747-771; 16. Codes by J. H. van Lint, 773-807; 17. Extremal problems in combinatorial geometry by P. Erdös and G. Purdy, 809-874; 18. Convex polytopes and related complexes by V. Klee and P. Kleinschmidt, 875-917; 19. Point lattices by J. C. Lagarias, 919-966; 20. Combinatorial number theory by C. Pomerance and A. Sárközy, 967- 1018. Chapters 21 through 44 are found in Volume II: 21. Algebraic enumeration by I. M. Gessel and R. P. Stanley, 1021-1061; 22. Asymptotic enumeration methods by A. M. Odlyzko, 1063-1229; 23. Extremal graph theory by B. Bollobás, 1231-1292; 24. Extremal set systems by P. Frankl, 1293-1329; 25. Ramsey theory by J. Nešetřil, 1331-1403; 26. Discrepancy theory by J. Beck and V. T. Sós, 1405-1446; 27. Automorphism groups, isomorphism, reconstruction by L. Babai, 1447-1540; 28. Combinatorial optimization by M. Grötschel and L. Lovász, 1541-1597; 29. Computational complexity by D. B. Shmoys and É. Tardos, 1599-1645; 30. Polyhedral combinatorics by A. Schrijver, 1649-1704; 31. Tools from linear algebra by C. D. Godsil (with an appendix by L. Lovász), 1705- 1748; 32. Tools from higher algebra by N. Alon, 1749-1783; 33. Probabilistic methods by J. Spencer, 1785-1817; 34. Topological methods by A. Björner, 1819-1872; 35. Combinatorics in operations research by A. W. J. Kolen and J. K. Lenstra, 1875-1910; 36. Combinatorics in electrical engineering and statics by A. Recski, 1911-1924; 37. Combinatorics in statistical physics by C. D. Godsil, M. Grötschel and D. J. A. Welsh, 1925-1954; 38. Combinatorics in chemistry by D. H. Rouvray, 1955-1981; 39. Applications of combinatorics to molecular biology by M. S. Waterman, 1983-2001; 40. Combinatorics in computer science by L. Lovász, D. B. Shmoys and É. Tardos, 2003-2038; 41. Combinatorics in pure mathematics by L. Lovász, L. Pyber, D. J. A. Welsh and G. M. Ziegler, 2039-2082; 42. Infinite combinatorics by A. Hajnal, 2085-2116; 43. Combinatorial games by R. K. Guy, 2117-2162; 44. The history of combinatorics by N. L. Biggs, E. K. Lloyd and R. J. Wilson, 2163-2198. Indexed articles: {\it Bondy, J.A.}, Basic graph theory: Paths and circuits, 3-110 [Zbl 0849.05044] {\it Frank, András}, Connectivity and network flows, 111-177 [Zbl 0846.05055] {\it Pulleyblank, W.R.}, Matchings and extensions, 179-232 [Zbl 0866.05048] {\it Toft, Bjarne}, Colouring, stable sets and perfect graphs, 233-288 [Zbl 0844.05042] {\it Seymour, P.D.}, Nowhere-zero flows, 289-299 [Zbl 0845.05035] {\it Thomassen, Carsten}, Embeddings and minors, 301-349 [Zbl 0851.05043] {\it Karoński, Michał}, Random graphs, 351-380 [Zbl 0845.05082] {\it Duchet, Pierre}, Hypergraphs, 381-432 [Zbl 0859.05063] {\it Trotter, William T.}, Partially ordered sets, 433-480 [Zbl 0841.06001] {\it Welsh, D.J.A.}, Matroids: Fundamental concepts, 481-526 [Zbl 0853.05023] {\it Seymour, P.D.}, Matroid minors, 527-550 [Zbl 0853.05024] {\it Bixby, Robert E.; Cunningham, William H.}, Matroid optimization and algorithms, 551-609 [Zbl 0848.05017] {\it Cameron, Peter J.}, Permutation groups, 611-645 [Zbl 0845.20001] {\it Cameron, Peter J.}, Finite geometries, 647-691 [Zbl 0854.51003] {\it Brouwer, Andries E.}, Block designs, 693-745 [Zbl 0848.05008] {\it Brouwer, Andries E.; Haemers, Willem H.}, Association schemes, 747-771 [Zbl 0849.05072] {\it van Lint, J.H.}, Codes, 773-807 [Zbl 0849.94018] {\it Erdős, Paul; Purdy, George}, Extremal problems in combinatorial geometry, 809-874 [Zbl 0852.52009] {\it Klee, Victor; Kleinschmidt, Peter}, Convex polytopes and related complexes, 875-917 [Zbl 0847.52009] {\it Lagarias, Jeffrey C.}, Point lattices, 919-966 [Zbl 0854.90116] {\it Pomerance, Carl; Sárközy, András}, Combinatorial number theory, 967-1018 [Zbl 0849.11001] {\it Gessel, Ira M.; Stanley, Richard P.}, Algebraic enumeration, 1021-1061 [Zbl 0853.05002] {\it Odlyzko, A.M.}, Asymptotic enumeration methods, 1063-1229 [Zbl 0845.05005] {\it Bollobás, Béla}, Extremal graph theory, 1231-1292 [Zbl 0844.05054] {\it Frankl, P.}, Extremal set systems, 1293-1329 [Zbl 0844.05094] {\it Nešetřil, Jaroslav}, Ramsey theory, 1331-1403 [Zbl 0848.05065] {\it Beck, József; Sós, Vera T.}, Discrepancy theory, 1405-1446 [Zbl 0851.11043] {\it Babai, László}, Automorphism groups, isomorphism, reconstruction, 1447-1540 [Zbl 0846.05042] {\it Grötschel, Martin; Lovász, László}, Combinatorial optimization, 1541-1597 [Zbl 0854.90117] {\it Shmoys, D.B.; Tardos, É.}, Computational complexity, 1599-1645 [Zbl 0844.68046] {\it Schrijver, Alexander}, Polyhedral combinatorics, 1649-1704 [Zbl 0845.90103] {\it Godsil, C.D.; Lovász, László}, Tools from linear algebra, 1705-1748 [Zbl 0859.05079] {\it Alon, Noga}, Tools from higher algebra, 1749-1783 [Zbl 0848.05073] {\it Spencer, Joel}, Probabilistic methods, 1785-1817 [Zbl 0853.60004] {\it Björner, Anders}, Topological methods, 1819-1872 [Zbl 0851.52016] {\it Kolen, Antoon W.J.; Lenstra, Jan Karel}, Combinatorics in operations research, 1875-1910 [Zbl 0854.90118] {\it Recski, András}, Combinatorics in electrical engineering and statics, 1911-1924 [Zbl 0916.05066] {\it Godsil, C.D.; Grötschel, M.; Welsh, D.J.A.}, Combinatorics in statistical physics, 1925-1954 [Zbl 0882.05014] {\it Rouvray, Dennis H.}, Combinatorics in chemistry, 1955-1981 [Zbl 0843.92027] {\it Waterman, Michael S.}, Applications of combinatorics to molecular biology, 1983-2001 [Zbl 0842.92011] {\it Lovász, László; Shmoys, D.B.; Tardos, É.}, Combinatorics in computer science, 2003-2038 [Zbl 0844.68088] {\it Lovász, László; Pyber, L.; Welsh, D.J.A.; Ziegler, G.M.}, Combinatorics in pure mathematics, 2039-2082 [Zbl 0851.52017] {\it Hajnal, A.}, Infinite combinatorics, 2085-2116 [Zbl 0844.03026] {\it Guy, Richard K.}, Combinatorial games, 2117-2162 [Zbl 0845.90145] {\it Biggs, Norman L.; Lloyd, E.Keith; Wilson, Robin J.}, The history of combinatorics, 2163-2198 [Zbl 0847.05001]

05-06Proceedings of conferences (combinatorics)
00B15Collections of articles of miscellaneous specific interest