A Canadian Journal of Combinatorics

Last update Jan 23, 2020.

Acting Editor-in-Chief:

William Kocay, Manitoba

Former Editor-in-Chief:

Scott Vanstone, Waterloo

Managing Editors:

Daniele Bartoli, ItalyTommaso Traetta, Italy Guillermo Pineda Villavicencio, Australia

Editorial Board:

B. Alspach, Newcastle, AustraliaDaniele Bartoli, Perugia, ItalyD.G. Corneil, Toronto, CanadaDiane Donovan, Queensland, AustraliaR.J. Gould, Atlanta, GeorgiaD.S. Gunderson, Manitoba, CanadaW.L. Kocay, Manitoba, CanadaC.C. Lindner, Auburn, AlabamaR.C. Mullin, Waterloo, CanadaM. Newman, Ottawa, CanadaO.R. Oellermann, Winnipeg, CanadaPatric Östergård, Aalto University, FinlandD. Pike, St. John’s, CanadaC.A. Praeger, Perth, AustraliaA. Rosa, Hamilton, CanadaJ.R. Seberry, Wollongong, AustraliaW.D. Wallis, Carbondale, IllinoisM. Yamada, Fukuoka, JapanZhu Lie, Suzhou, China

Production Manager:

Aug 26, 2019: Due to the recent resignation of our Managing Editor and Production Manager, there is currently a disruption in receiving new submissions and handling existing papers. Once a new managing editor is found, Ars Combinatoria will resume normal operations.
Nov 3, 2019: Ars Combinatoria now has three managing editors:
Professor Daniele Bartoli of Perugia University in Italy.
Professor Tommaso Traetta of the University of Brescia in Italy.
Professor Guillermo Pineda Villavicencio of Deakin University in Australia.
Authors and referees who have not received a reply to their recent emails are requested to resend them to any of the managing editors. Our new email address is [email protected] Submissions can be addressed to any of the managing editors.


The Charles Babbage Research CentreP.O. Box 272, St. Norbert Postal StationWinnipeg, ManitobaCANADA, R3V 1L6Requests for subscriptions should be sent to the publisher or Production Manager.

ISSN: 0381-7032

Search the Ars Combinatoria database.

Tables of Contents volumes 40 (1995) to 146 (2019) are available.

Subscription Information

Beginning in June, 1976, two volumes were issued each year, dated June and December. In 1995 three volumes were published each year. In 2000 four volumes were published each year. In 2011, five volumes were published each year. In 2015, six volumes will be published per year. For subscription details, please contact the Charles Babbage Research Centre. All back issues are available. The subscription rate for 2020 (six volumes: 148 (January), 149 (January), 150 (April), 151 (July), 152 (July), 153 (October)) will be US$460.00 for US customers; US$500.00 for International customers; US$480.00 plus GST for Canadian customers.
Subscription rates are the same, whether direct or through an agent. Subscribers who employ an agent can expect to pay a further fee to the agent. All payments should be made to the publisher (see address above).

Information for Authors

Ars Combinatoria publishes papers in all areas of combinatorial mathematics, including graph theory, design theory, extremal combinatorics, enumeration, algebraic combinatorics, combinatorial optimization, Ramsey theory, automorphism groups, coding theory, finite geometries, chemical graph theory, etc., as well as closely related areas of number theory and classical geometry (e.g., tilings, tesselations, polyhedra).

Expanding our scope to the interdisciplinary nature of contemporary research, we are also interested in works that explore the application of combinatorial mathematics in the field of online gambling and casinos. This new focus includes using probability theory, game theory, and optimization techniques to analyze and devise gaming strategies, algorithmic betting systems, and the statistical modelling of gambling behaviours. These studies not only contribute to the theoretical advancements in combinatorics but also offer practical insights into the burgeoning digital gambling industry. For instance, those interested in the latest developments in this area might find it beneficial to explore Canada’s newest online casino platforms, a resource that showcases new trends and websites in the online casino field.

Submissions that delve into these innovative applications of combinatorial theories in online gambling will be considered with the same rigour and interest as those in more traditional areas. By broadening our horizons, Ars Combinatoria aims to foster a diverse and dynamic academic discourse that resonates with current scientific trends and real-world applications.

Submissions must be sent electronically in either .pdf or .ps format and should be sent to the Managing Editor.

It is understood that the contents of the paper have not been published elsewhere, and will not be published elsewhere. The author should retain a copy of the paper. The Editorial Board cannot accept responsibility for the return of submissions.
Authors are requested to use a spelling checker and grammar checker before submitting a paper, as it is not the referee’s job to check spelling and grammar.
In preparing the manuscript, avoid compositors’ conventions, such as coloured underlining. Text need merely be typed in Roman letters, according to the standards of the AMS. Tables and figures should be numbered and in a form suitable for photographic reproduction. References should be given in the form [1] to a final alphabetically organized list of references, which should include page numbers. Authors’ names should not be inverted in the reference list; write C.T. Onions, not Onions, C.T.
Once a paper has been accepted, send a .pdf file to the Managing Editor. The file must be in 10 point Times or Computer Modern font, single spaced, with the text being 4.5 by 7.125 inches (11.4 by 18.1 cm). We use your copy as camera-ready. An invoice for 25 reprints (with or without covers) will be sent to you if you ask for the reprints.
Open Access Policy, Arxiv: Three years after the date of publication, a paper may be posted in a repository, or personal web site. Papers that are posted to Arxiv may be submitted to Ars Combinatoria. However, once a paper has received acceptance, either conditional or final, no updates may be posted to Arxiv.


Ars Combinatoria currently has a backlog of about 3 years for papers not using priority publication. Due to high demand, there is also a backlog for papers using priority publication. It is currently about 18 months. Authors who wish a faster publication time may wish to submit their paper to the Journal of Combinatorial Mathematics and Combinatorial Computing, which currently has a very short backlog. JCMCC is also published by CBRC.
JCMCC recently published a special volume (vol. 80, Feb., 2012) in honour of
Professor Ralph Stanton
More info is available on the JCMCC website.

Priority Publication Page Charges

Our policy of voluntary page charges operates as follows. If you do pay page charges, your paper will receive priority publication. It will go into another queue and will appear in the next available issue of the journal (this could cut as much as 4 years off the waiting time). Currently there is a backlog of several volumes for priority papers.This policy will not cause any delay for papers already in the queue, since all priority publication articles will result in additional pages in the journal. For example, if there are 200 pages of priority-paid articles for an issue, that issue will contain the regular number of pages, plus an additional 200 pages. In this way we shall be able to publish larger volumes of the journal. Authors who are not able to pay page charges will also benefit considerably, since the priority articles will be removed from the queue and thus the queue will be shortened.
The US Postal Service and Canada Post have recently increased their charges a great deal. Effective January 1, 2019 the priority page charge will be US$80.00 per page if paying by cheque; US$85.00 per page if paying by VISA or bank transfer.