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Reachability in complete t-ary trees
(Annals of Mathematics and Computer Science, 2023-10-01)
Mathematical trees such as Cayley trees, plane trees, binary trees, noncrossing trees, t-ary trees among others have been studied extensively. Reachability of vertices as a statistic has been studied in Cayley trees, plane ...
Enumeration of plane and d-ary tree-like structures
(Annals of Mathematics and Computer Science, 2023-08-26)
Trees are generalized using various approaches such as considering tree-like structures. Some of the tree-like structures are Husimi graphs, cacti and oriented cacti. These graphs have been enumerated according to number ...
Bijections of plane Husimi graphs and certain combinatorial structures
(EU Academic Publishers, 2023-10-19)
Plane Husimi graphs are combinatorial structures obtained when we replace edges
in plane trees with complete graphs such that the resultant structures are connected and cycle
free. The formula that counts these structures ...
Bijections for classes of labelled trees
(University of Isfahan, 2024-01-09)
Trees are acyclic connected graphs. Plane trees, d-ary trees, binary trees, non
crossing trees and their generalizations, which are families of trees, have been enumerated by
many authors using various statistics. These ...