PreprintCC BY 4.0arXiv
On the Turán number of the expansion of the book
Abstract
The book with t pages is the graph on t+2 vertices consisting of t triangles which intersect at exactly one common edge. For a given graph F, the r-expansion Fr of F is the r-uniform hypergraph obtained from F by adding r−2 distinct new vertices to each edge of F. We determine the Turán number of the 3-expansion of the book graph for sufficiently large n.
Related
BibTeX
@misc{cheng2026turán,
title = {{On the Turán number of the expansion of the book}},
author = {Xin Cheng and Dániel Gerbner and Hilal Hama Karim},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.01910},
eprint = {2609.01910},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.01910},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - On the Turán number of the expansion of the book
AU - Xin Cheng
AU - Dániel Gerbner
AU - Hilal Hama Karim
PY - 2026
DA - 2026/09/01
PB - arXiv
DO - 10.48550/arxiv.2609.01910
UR - https://arxiv.org/abs/2609.01910
AB - The book with t pages is the graph on t+2 vertices consisting of t triangles which intersect at exactly one common edge. For a given graph F, the r-expansion F^r of F is the r-uniform hypergraph obtained from F by adding r−2 distinct new vertices to each edge of F. We determine the Turán number of the 3-expansion of the book graph for sufficiently large n.
ER -