
Journal of Combinatorial Mathematics and Combinatorial Computing
ISSN: 0835-3026 (print) 2817-576X (online)
The Journal of Combinatorial Mathematics and Combinatorial Computing (JCMCC) embarked on its publishing journey in April 1987. From 2024 onward, it publishes four volumes per year in March, June, September and December. JCMCC has gained recognition and visibility in the academic community and is indexed in renowned databases such as MathSciNet, Zentralblatt, Engineering Village and Scopus. The scope of the journal includes; Combinatorial Mathematics, Combinatorial Computing, Artificial Intelligence and applications of Artificial Intelligence in various files.
- Research article
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- Journal of Combinatorial Mathematics and Combinatorial Computing
- Volume 012
- Pages: 23-32
- Published: 31/10/1992
We consider square arrays of numbers
We give generating functions and arithmetical relations for these numbers. We show that every row of such an array is eventually log concave, and give a few sufficient conditions for columns to be eventually log concave. We also give a necessary condition for a column to be eventually log concave, and provide examples to show that there exist such arrays in which no column is eventually log concave.
- Research article
- Full Text
- Journal of Combinatorial Mathematics and Combinatorial Computing
- Volume 012
- Pages: 17-21
- Published: 31/10/1992
In this paper, we obtain some necessary conditions for the existence of balanced arrays (
- Research article
- Full Text
- Journal of Combinatorial Mathematics and Combinatorial Computing
- Volume 012
- Pages: 7-15
- Published: 31/10/1992
It is shown that the circuit polynomial of a graph, when weighted by the number of nodes in the circuits, does not characterize the graph, i.e., non-isomorphic graphs can have the same circuit polynomial. Some general theorems are given for constructing graphs with the same circuit polynomial (cocircuit graphs). Analogous results can be deduced for characteristic polynomials.
- Research article
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- Journal of Combinatorial Mathematics and Combinatorial Computing
- Volume 012
- Pages: 3-6
- Published: 31/10/1992
Given
- Research article
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- Journal of Combinatorial Mathematics and Combinatorial Computing
- Volume 011
- Pages: 213-222
- Published: 30/04/1992
With the help of a computer, the third Ramsey number is determined for each of the
- Research article
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- Journal of Combinatorial Mathematics and Combinatorial Computing
- Volume 011
- Pages: 209-212
- Published: 30/04/1992
In this paper, we prove that the size Ramsey number
- Research article
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- Journal of Combinatorial Mathematics and Combinatorial Computing
- Volume 011
- Pages: 187-208
- Published: 30/04/1992
We consider the following three problems: Given a graph
- What is the smallest number of cliques into which the edges of
can be partitioned? - How many cliques are needed to cover the edges of
? - Can the edges of
be partitioned into maximal cliques of ?
All three problems are known to be NP-complete for general
- Research article
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- Journal of Combinatorial Mathematics and Combinatorial Computing
- Volume 011
- Pages: 182-186
- Published: 30/04/1992
The total chromatic number
In this paper, we introduce the concept of total chromatic matrix and use it to show the following lower bound:
- Research article
- Full Text
- Journal of Combinatorial Mathematics and Combinatorial Computing
- Volume 011
- Pages: 173-181
- Published: 30/04/1992
An addition-multiplication magic square of order
- Research article
- Full Text
- Journal of Combinatorial Mathematics and Combinatorial Computing
- Volume 011
- Pages: 161-172
- Published: 30/04/1992
A hypergraph is irregular if no two of its vertices have the same degree. It is shown that for all