
Catalan Numbers and their generalizations are found throughout the field of Combinatorics. This paper describes their connection to numbers whose digits appear in the number’s own
A
Let
For
Das
Given two non-isomorphic bipartite 2-factors
For every integer
Secondly, for every integer
In this paper, exact values are found for
We construct a class of maximal partial line spreads in
Let
For a nontrivial connected graph
A seed of a word
Self-dual
A Roman dominating function (RDF) on a graph
It has been conjectured that the edge domination number of the
In this paper, we present some patterns related to derangements. We find the distribution of the
We present a new type of tournament design that we call a complete mixed doubles round robin tournament,
Recently introduced invariants, copoint pre-hull number and convex pre-hull number, are both numerical measures of nonconvexity of a graph
In this note, we provide bijective proofs of some identities involving the Bell number, as previously requested. Our arguments may be extended to yield a generalization in terms of complete Bell polynomials. We also provide a further interpretation for a related difference of Catalan numbers in terms of the inclusion-exclusion principle.
Given a graph
The existence of additive BIB designs and 2 pairwise additive BIB designs has been discussed with direct and recursive constructions in [6, 9]. In this paper, by reorganizing some methods of constructing pairwise additive BIB designs from other combinatorial structures, it is shown that 3 pairwise additive
A lot of research has been spent determining the domination numbers,
1970-2025 CP (Manitoba, Canada) unless otherwise stated.