Skip to content
DraconiticResearch
Search Sources API
197,787 studies31 sourcesUpdated 1 min ago
PreprintCC BY 4.0arXiv

Modularity in planted partition model

Abstract

We obtain tight bounds on the modularity of PPM graphs in the case of equally sized parts. Moreover, we provide a general method that can help in obtaining bounds for various other models.

Versions

Related

  1. Hypergraph cycle enumeration for efficient inference of planted k-XOR with smooth trade-off
    Arman Babakhani, Enrico Fontana, Junhyung Lyle Kim +2
    arXivPreprintCC BY 4.0Full textStatisticsQuantum physics & quantum informationarXiv
  2. Estimation and Recovery of a Planted Dense Subgraph from a Single Network Cascade
    Maximilien Dreveton, Paula Mürmann, Patrick Thiran
    arXivPreprintCC BY 4.0Full textProbabilityStatisticsarXiv
  3. Modularity of Higher Theta Series III: Proof of the Modularity Conjecture
    Tony Feng, Zhiwei Yun, Wei Zhang
    arXivPreprintCC BY-NC-ND 4.0Full textAlgebra & number theoryarXiv
  4. Modularity of higher theta series I: cohomology of the generic fiber
    Tony Feng, Zhiwei Yun, Wei Zhang
    Publications mathématiques de l IHÉSPeer-reviewedLicence not statedFull text13 citedAlgebra & number theoryOpenAlex
  5. On the modularity of residually reducible Galois representations of rank 2
    Andrea Dotto, Jack A. Thorne
    arXivPreprintarXiv licenceFull textAlgebra & number theoryarXiv
BibTeX
@misc{koshelev2026modularity,
  title = {{Modularity in planted partition model}},
  author = {M. Koshelev},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.07896},
  eprint = {2609.07896},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.07896},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Modularity in planted partition model
AU  - M. Koshelev
PY  - 2026
DA  - 2026/09/07
PB  - arXiv
DO  - 10.48550/arxiv.2609.07896
UR  - https://arxiv.org/abs/2609.07896
AB  - We obtain tight bounds on the modularity of PPM graphs in the case of equally sized parts. Moreover, we provide a general method that can help in obtaining bounds for various other models.
ER  -