Modular decomposition and the Reconstruction Conjecture

被引：0

作者：

Brignall, Robert ^{[1
]}

Georgiou, Nicholas ^{[2
]}

Waters, Robert J.

机构：

[1] Open Univ, Dept Math & Stat, Milton Keynes, Bucks, England

[2] Univ Bristol, Dept Math, Bristol, Avon, England

来源：

JOURNAL OF COMBINATORICS | 2012年 / 3卷 / 01期

关键词：

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove that a large family of graphs which are decomposable with respect to the modular decomposition can be reconstructed from their collection of vertex-deleted subgraphs.

引用

页码：123 / 134

页数：12

共 50 条

[1] Operator decomposition of graphs and the reconstruction conjecture
Skums, P. V.
Suzdal, S. V.
Tyshkevich, R. I.
DISCRETE MATHEMATICS, 2010, 310 (03) : 423 - 429
[2] A modular Langlands conjecture
Vigneras, MF
FINITE REDUCTIVE GROUPS: RELATED STRUCTURES AND REPRESENTATIONS: PROCEEDINGS OF AN INTERNATIONAL CONFERENCE HELD IN LUMINY, FRANCE, 1997, 141 : 415 - 452
[3] RECONSTRUCTION CONJECTURE FOR TOURNAMENTS
STOCKMEYER, PK
NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1975, 22 (02): : A305 - A305
[4] Slopes of Modular Forms and the Ghost Conjecture
Bergdall, John
Pollack, Robert
INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2019, 2019 (04) : 1125 - 1144
[5] A CONJECTURE AND A THEOREM ON BLOCKS OF MODULAR REPRESENTATION
HARADA, K
JOURNAL OF ALGEBRA, 1981, 70 (02) : 350 - 355
[6] ON A MODULAR FORM OF ZAREMBA'S CONJECTURE
Moshchevitin, Nikolay G.
Shkredov, Ilya D.
PACIFIC JOURNAL OF MATHEMATICS, 2020, 309 (01) : 195 - 211
[7] Modular curves and the refined distance conjecture
Daniel Kläwer
Journal of High Energy Physics, 2021
[8] PROOF OF A CONJECTURE ON FINITE MODULAR LATTICES
DILWORTH, RP
ANNALS OF MATHEMATICS, 1954, 60 (02) : 359 - 364
[9] On the modular version of Huppert's ρ-σ conjecture
Lu, ZQ
Zhang, JP
JOURNAL OF ALGEBRA, 2000, 226 (01) : 216 - 224
[10] Modular curves and the refined distance conjecture
Klaewer, Daniel
JOURNAL OF HIGH ENERGY PHYSICS, 2021, 2021 (12)

← 1 2 3 4 5 →