Banff designs: difference methods for coloring incidence graphs

We present some results on the harmonious colourings of the Levi graph of a 2-design, focusing on Steiner 2-design. It is easily seen that the harmonious chromatic number of such a Levi graph is at least the number of points of the design: we study and construct Banff designs, that is designs such that this lower bound is attained.

Authors

Institutions

Publication Details

Journal
The Art of Discrete and Applied Mathematics
Published
2024-12-23
DOI
https://doi.org/10.26493/2590-9770.1739.91c
Primary Topic
graph theory and CDMA systems
Type
article
Field-Weighted Citation Impact
0.00
Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
article

Banff designs: difference methods for coloring incidence graphs

Christian Rubio-Montiel, Francesca Reduzzi Merola, Marco Buratti, Anamari Nakić
The Art of Discrete and Applied Mathematics
graph theory and CDMA systems
article

Banff designs: difference methods for coloring incidence graphs

Christian Rubio-Montiel, Francesca Reduzzi Merola, Marco Buratti, Anamari Nakić
article en

Abstract

We present some results on the harmonious colourings of the Levi graph of a 2-design, focusing on Steiner 2-design. It is easily seen that the harmonious chromatic number of such a Levi graph is at least the number of points of the design: we study and construct Banff designs, that is designs such that this lower bound is attained.

The Art of Discrete and Applied MathematicsVol. 8(3)
Roma Tre University (IT), University of Zagreb (HR), Sapienza University of Rome (IT), Universidad Nacional Autónoma de México (MX)
Openalex Percentile: Top 78%
graph theory and CDMA systems
AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.

Banff designs: difference methods for coloring incidence graphs — Christian Rubio-Montiel, Francesca Reduzzi Merola, et al. · The Art of Discrete and Applied Mathematics (2024) | TGRS Research Map | TGRS