---
res:
  bibo_abstract:
  - "In this work we establish several monotonicity and decomposition results in the
    framework of random regular graphs. Among other results, we\r\nshow that, for
    a wide range of parameters d1 ≤ d2, there exists a coupling of\r\nG(n,d1) and
    G(n,d2) satisfying that G(n,d1) ⊆ G(n,d2) with high probability, confirming a
    conjecture of Gao, Isaev and McKay in a new regime.\r\nOur contributions include
    new tools for analysing contiguity and total variation distance between random
    regular graph models, a novel procedure for\r\ngenerating unions of random edge-disjoint
    perfect matchings, and refined estimates of Gao’s bounds on the number of perfect
    matchings in random regular graphs. In addition, we make progress towards another
    conjecture of Isaev,\r\nMcKay, Southwell and Zhukovskii.@eng"
  bibo_authorlist:
  - foaf_Person:
      foaf_givenName: Lawrence
      foaf_name: Hollom, Lawrence
      foaf_surname: Hollom
  - foaf_Person:
      foaf_givenName: Lyuben
      foaf_name: Lichev, Lyuben
      foaf_surname: Lichev
      foaf_workInfoHomepage: http://www.librecat.org/personId=9aa8388e-d003-11ee-8458-c4c1d7447977
  - foaf_Person:
      foaf_givenName: Adva
      foaf_name: Mond, Adva
      foaf_surname: Mond
  - foaf_Person:
      foaf_givenName: Julien
      foaf_name: Portier, Julien
      foaf_surname: Portier
  - foaf_Person:
      foaf_givenName: Yiting
      foaf_name: Wang, Yiting
      foaf_surname: Wang
      foaf_workInfoHomepage: http://www.librecat.org/personId=1917d194-076e-11ed-97cd-837255f88785
  bibo_doi: 10.1214/26-AAP2345
  bibo_issue: '5'
  bibo_volume: 36
  dct_date: 2026^xs_gYear
  dct_isPartOf:
  - http://id.crossref.org/issn/1050-5164
  - http://id.crossref.org/issn/2168-8737
  dct_language: eng
  dct_publisher: Institute of Mathematical Statistics@
  dct_subject:
  - Random regular graphs
  - coupling
  - contiguity
  - total variation distance
  - decomposition
  dct_title: Monotonicity and decompositions of random regular graphs@
...