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1.

図書

図書
B.ボロバシュ編 ; 金光滋訳
出版情報: 東京 : 近代科学社, 1990.4  iii, 295p ; 21cm
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2.

図書

図書
edited by Béla Bollobás
出版情報: London ; Tokyo : Academic Press, c1984  xvii, 328 p. ; 24 cm
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3.

図書

図書
edited by A. Baker, B. Bollobás, A. Hajnal
出版情報: Cambridge [England] ; New York : Cambridge University Press, 1990  xv, 478 p. ; 24 cm
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目次情報: 続きを見る
Frontispiece
List of contributors
Preface
Generating expanders from two permutations / M. Ajtai ; J. Komols ; E. Szemeredi1:
Sum-free subsets / N. Alon ; D. J. Kleitman2:
Is there a different proof of the Erdos-Rado theorem? / J. E. Baumgartner3:
Almost collinear triples among N points on the plane / J. Beck4:
Hamilton cycles in random graphs of minimal degree at least / B. Bollobas ; T. I. Fenner ; A. M. Frieze5:
The circumference of a graph with a given minimal degree / R. Haggkvist6:
On arithmetic progressions in sums of sets of integers / J. Bourgain7:
Partitions sans petits sommants / J. Dixmier ; J. L. Nicolas8:
A compact sequential space / A. Dow9:
The critical parameter for connectedness of some random graphs / R. Durret ; H. Kesten10:
Multiplicative functions on arithmetic progressions: the large moduli / P. D. T. A. Elliott11:
Locally finite groups of permutations of N acting on loo / M. Foreman12:
Hypergraphs games and the chromatic number / F. Galvin13:
On arithmetic graphs associated with integral domains / K. Gyory14:
On the number of certain subgraphs of graphs without large cliques and independent subsets / A. Hajnal ; Z. Nagy ; L. Soukup15:
Sets of multiples and Behrend sequences / R. R. Hall16:
A functional equation arising from the mortality tables / W. K. Hayman17:
The differences between consecutives primes, IV / R. Heath-Brown18:
On the cofinality of countable products of cardinal numbers T. Jech; On a-centered posets / I. Juhasz ; K. Kunen19:
A Galvin-Hajnal conjecture on uncountably chromatic graphs / P. Komjath20:
Necessary conditions for mean convergence of Hermite-Fejer interpolation / A. Mate ; P. Nevai21:
Graphs with no unfriendly partitions / E. C. Milner ; S. Shelah22:
On the Erdos-Fuchs theorem / H. L. Montgomery ; R. C. Vaughan23:
A tournament which is not finitely representable / Z. Szentmiklossy24:
On the volume of spheres covered by a random walk / P. Revesz25:
Special Lucas sequences, including the Fibonacci sequence, modulo a prime / A. Schinzel26:
A remark on heights of subspaces / W. Schmidt27:
On the greatest prime factor of an arithmetical progression / T. N. Shorey ; R. Tijdeman28:
The probabilistic lens: Sperner, Turan and Bergman revisited / J. Spencer29:
On the mean convergence of derivatives of Lagrange interpolation / J. Szabodos ; A. K. Varma30:
Sur une question d'Erdos et Schinzel / G. Tenenbaum31:
Some recent results on interpolation / P. Vertesi32:
Partitioning the quadruples of topological spaces / W. Weiss33:
Selected problems
Frontispiece
List of contributors
Preface
4.

図書

図書
Béla Bollobás, Oliver Riordan
出版情報: Cambridge : Cambridge University Press, c2006  x, 323 p. ; 24 cm
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目次情報: 続きを見る
Preface
Basic concepts and results / 1:
Probabilistic tools / 2:
Bond percolation on Z[superscript 2] - the Harris-Kesten Theorem / 3:
The Russo-Seymour-Welsh method / 3.1:
Harris's Theorem / 3.2:
A sharp transition / 3.3:
Kesten's Theorem / 3.4:
Dependent percolation and exponential decay / 3.5:
Sub-exponential decay / 3.6:
Exponential decay and critical probabilities - theorems of Menshikov and Aizenman & Barsky / 4:
The van den Berg-Kesten inequality and percolation / 4.1:
Oriented site percolation / 4.2:
Almost exponential decay of the radius - Menshikov's Theorem / 4.3:
Exponential decay of the radius / 4.4:
Exponential decay of the volume - the Aizenman-Newman Theorem / 4.5:
Uniqueness of the infinite open cluster and critical probabilities / 5:
Uniqueness of the infinite open cluster - the Aizenman-Kesten-Newman Theorem / 5.1:
The Harris-Kesten Theorem revisited / 5.2:
Site percolation on the triangular and square lattices / 5.3:
Bond percolation on a lattice and its dual / 5.4:
The star-delta transformation / 5.5:
Estimating critical probabilities / 6:
The substitution method / 6.1:
Comparison with dependent percolation / 6.2:
Oriented percolation on Z[superscript 2] / 6.3:
Non-rigorous bounds / 6.4:
Conformal invariance - Smirnov's Theorem / 7:
Crossing probabilities and conformal invariance / 7.1:
Smirnov's Theorem / 7.2:
Critical exponents and Schramm-Loewner evolution / 7.3:
Continuum percolation / 8:
The Gilbert disc model / 8.1:
Finite random geometric graphs / 8.2:
Random Voronoi percolation / 8.3:
Bibliography
Index
List of notation
Preface
Basic concepts and results / 1:
Probabilistic tools / 2:
5.

図書

図書
B・ボロバッシュ著 ; 斎藤伸自, 西関隆夫共訳
出版情報: 東京 : 培風館, 1983.4  viii, 211p ; 22cm
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6.

図書

図書
Bollobás, Béla ; Kirwan, Frances Clare, 1959- ; Sarnak, Peter ; Wall, Charles Terence Clegg, 1936-
出版情報: Cambridge ; New York : Cambridge University Press
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7.

図書

図書
edited by Bela Bollobas, Andrew Thomason
出版情報: Cambridge ; New York : Cambridge University Press, 1997  xxi, 562 p. ; 26cm
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目次情報: 続きを見る
Some unsolved problems / Paul Erdös1:
Menger's theorem for a countable source set / R. Aharoni ; R. Diestel2:
On extremal set partitions in Cartesian product spaces / R. Ahlswede ; N. Cai3:
Matchings in lattice graphs and Hamming graphs / M. Aigner ; R. Klimmek4:
Reconstructing a graph from its neighbourhood lists / E. Triesch5:
Threshold functions for H-factors / N. Alon ; R. Yuster6:
A rate for the Erdös-Turán law / A. D. Barbour ; S. Tavaré7:
Deterministic graph games and a probabilistic intuition / J. Beck8:
On oriented embedding of the binary tree into the hypercube / S. L. Bezrukov9:
Potential theory on distance-regular graphs / N. L. Biggs10:
On the length of the longest increasing subsequence in a random permutation / B. Bollobás ; S. Janson11:
On RichardsonÆs model on the hypercube / Y. Kohayakawa12:
Random permutations: some group-theoretic aspects / P. J. Cameron ; W. M. Kantor13:
Ramsey problems with bounded degree spread / G. Chen ; R. H. Schelp14:
Hamilton cycles in random regular digraphs / C. Cooper ; A. Frieze ; M. Molloy15:
On triangle contact graphs H. de Fraysseix / P. Ossona de Mendez ; P. Rosenstiehl16:
A combinatorial approach to complexity theory via ordinal hierarchies / W. A. Deuber ; W. Thumser17:
Lattice points of cut cones / M. Deza ; V. Grishukin18:
The growth of infinite graphs: boundedness and finite spreading / I. Leader19:
Amalgamated factorizations of complete graphs / J. K. Dugdale ; A. J. W. Hilton20:
Ramsey size linear graphs / R. J. Faudree ; C. C. Rousseau21:
Turán-Ramsey theorems and Kp independence numbers / A. Hajnal ; M. Simonovits ; V. T. Sós ; E. Szemerédi22:
Nearly equal distances in the plane Paul Erdös / E. Makai ; J. Pach23:
Clique partitions of chordal graphs Paul Erdös / E. T. Ordman ; Y. Zalcstein24:
On intersecting chains in Boolean algebras / Péter L. Erdös ; A. Seress ; L. A. Szekely25:
On the maximum number of triangles in wheel-free graphs / Z. Füredi ; M.X. Goemans ; D. J. Kleitman26:
Blocking sets in SQS(2v) M. Gionfriddo / S. Milici ; Zs. Tuza27:
(1,2)-factorisations of general Eulerian nearly regular graphs / R. Häggkvist ; A. Johansson28:
Oriented Hamilton cycles in digraphs / A. Thomason29:
Minimization problems for infinite n-connected graphs / R. Halin30:
On universal threshold graphs / P. L. Hammer ; A. K. Kelmans31:
Image partition regularity of matrices / N. Hindman32:
Extremal graph problems for graphs with a color-critical vertex / C. Hundack ; H. J. Prömel ; A. Steger33:
A note on W1-to-W1 functions / P. Komjáth34:
Topological cliques in graphs / J. Komlós35:
Local-global phenomena in graphs / N. Linial36:
On random generation of the symmetric group / T. Luczak ; L. Pyber37:
On vertex-edge-critically n-connected graphs / W. Mader38:
On a conjecture of Erdös and Cudakov / A. R. D. Mathias39:
A random recolouring method for graphs and hypergraphs / C. McDiarmid40:
Obstructions for the disk and the cylinder embedding extension problems / B. Mohar41:
A Ramsey-type theorem in the plane / J. Nesetril ; P. Valtr42:
The enumeration of self-avoiding walks and domains on a lattice / H. N. V. Temperley43:
An extension of Foster's network theorem / P. Tetali44:
Randomised approximation in the Tutte plane / D. J. A. Welsh45:
On crossing numbers, and some unsolved problems / H. S. Wilf46:
Some unsolved problems / Paul Erdös1:
Menger's theorem for a countable source set / R. Aharoni ; R. Diestel2:
On extremal set partitions in Cartesian product spaces / R. Ahlswede ; N. Cai3:
8.

図書

図書
Béla Bollobás, editor ; [with contributions by] Fan R.K. Chung ... [et al.]
出版情報: Providence, R.I. : American Mathematical Society, c1991  xv, 196 p. ; 27 cm
シリーズ名: Proceedings of symposia in applied mathematics ; v. 44 . AMS short course lecture notes
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目次情報: 続きを見る
Random graphs / B. Bollobas
Constructing random-like graphs / F. K. Chung
Discrete isoperimetric inequalities / I. Leader
Random graphs revisited
Rapidly mixing Markov chains / U. Vazirani
Computing the volume of convex bodies: A case where randomness provably helps / M. Dyer ; A. Frieze
Finite Fourier methods: Access to tools / P. Diaconis
Random graphs / B. Bollobas
Constructing random-like graphs / F. K. Chung
Discrete isoperimetric inequalities / I. Leader
9.

図書

図書
Béla Bollobás
出版情報: Cambridge : Cambridge University Press, 1990  xi, 240 p. ; 24 cm
シリーズ名: Cambridge mathematical textbooks
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10.

図書

図書
[edited by] B. Bollobás
出版情報: Amsterdam ; Tokyo : North-Holland, 1989  vi, 410 p., [2] p. of plates ; 25 cm
シリーズ名: Annals of discrete mathematics ; 43
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