Journal of Combinatorial Mathematics and Combinatorial Computing

ISSN: 0835-3026 (print) 2817-576X (online)

The Journal of Combinatorial Mathematics and Combinatorial Computing (JCMCC) began its publishing journey in April 1987 and has since become a respected platform for advancing research in combinatorics and its applications.
Open Access: The journal follows the Diamond Open Access model—completely free for both authors and readers, with no article processing charges (APCs). 
Publication Frequency: From 2024 onward, JCMCC publishes four issues annually—in March, June, September, and December.
Scope: JCMCC publishes research in combinatorial mathematics and combinatorial computing, as well as in artificial intelligence and its applications across diverse fields.
Indexing & Abstracting: The journal is indexed in MathSciNet, Zentralblatt MATH, and EBSCO, enhancing its visibility and scholarly impact within the international mathematics community.
Rapid Publication: Manuscripts are reviewed and processed efficiently, with accepted papers scheduled for prompt appearance in the next available issue.
Print & Online Editions: All issues are published in both print and online formats to serve the needs of a wide readership.

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Vulnerability In Graphs-\(A\) Comparative Survey

C.A. Barefoot1, Roger Entringer2, Henda Swart3
1University of Colorado at Denver, Denver, CO 80202
2University of New Mexico, Albuquerque, NM 87131
3University of Natal, Durban 4001, Republic of South Africa
Abstract:

In assessing the “vulnerability” of a graph one determines the extent to which the graph retains certain properties after the removal of a number of vertices and/or edges. Four measures of vulnerability to vertex removal are compared for classes of graphs with edge densities ranging from that of trees to that of the complete graph.

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On Lander’s Conjecture for the Case \(\lambda=3\)

K.T. Arasu1
1Department of Mathematics and Statistics Wright State University Dayton, Ohio 45435
Abstract:

Lander conjectured: If D is a \((\text{v,k},\lambda)\) difference set in an abelian group \(G\) with a cyclic Sylow \(p\)-subgroup, then \(p\) does not divide \((v,n)\), where \(\text{n = k}-\lambda\).

Various nonexistence theorems are used to verify the above conjecture (all hand calculations) for \(\text{k} \leq 500\), except for \(\text{k} = 228, 282\) and \(444\), when \(\lambda = 3\). Using a machine, it is possible to do the checking for large \(k\).

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The Combinatorial Press Editorial Office routinely extends invitations to scholars for the guest editing of Special Issues, focusing on topics of interest to the scientific community. We actively encourage proposals from our readers and authors, directly submitted to us, encompassing subjects within their respective fields of expertise. The Editorial Team, in conjunction with the Editor-in-Chief, will supervise the appointment of Guest Editors and scrutinize Special Issue proposals to ensure content relevance and appropriateness for the journal. To propose a Special Issue, kindly complete all required information for submission;
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