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Open Journal of Discrete Mathematics (OJDM) is an openly accessible journal published quarterly. The goal of this journal is to provide a platform for scientists and academicians all over the world to promote,share,and discuss various new issues and developments in different areas of discrete mathematics. All manuscri…
Gilbert Labelle, Louise Laforest
A sentence over a finite alphabet A , is a finite sequence of non-empty words over A . More generally, we define a graphical sentence over A by attaching a non-empty word over A to each arrow and each loop of a connected directed graph (digraph, for short). E…
Viorel Nitica
Let and let be the set of four ribbon L -shaped n -ominoes. We study tiling problems for regions in a square lattice by . Our main result shows a remarkable property of this set of tiles: any tiling of the first quadrant by , n even, reduces to a tiling by an…
Chin Hee Pah, Mohamed Ridza Wahiddin
A new combinatorial interpretation of Raney numbers is proposed. We apply this combinatorial interpretation to solve several tree enumeration counting problems. Further a generalized Catalan triangle is introduced and some of its properties are proved.
K. C. Garrett, Kendra Killpatrick
The Legendre-Stirling numbers were discovered by Everitt, Littlejohn and Wellman in 2002 in a study of the spectral theory of powers of the classical second-order Legendre differential operator. In 2008, Andrews and Littlejohn gave a combinatorial interpretat…
Azer Akhmedov, Warren Shreve
We prove that a random labeled (unlabeled) tree is balanced. We also prove that random labeled and unlabeled trees are strongly k -balanced for any k ≥ 3. Definition : Color the vertices of graph G with two colors. Color an edge with the co…
Garima Sood, Ashok Kumar Agarwal
Recently in [1] Goyal and Agarwal interpreted a generalized basic series as a generating function for a colour partition function and a weighted lattice path function. This led to an infinite family of combinatorial identities. Using Frobenius partitions, we…
Oscar Ortega, Yue Wang
An antimedian of a sequence of elements of a finite metric space is an element for which is a maximum. The function with domain the set of all finite sequences on , and defined by { : is an antimedian of } is called the antimedian function on . In this note,…
Vladimir Leontiev, Garib Movsisyan, Arthur Osipyan
The problem of classification of the subset of the vertices of the n -dimensional unit cube in respect to all “shifts” by a vector from B n is studied. Some applications for the investigation of the additive channels of communication are represented.
U. M. Prajapati, S. J. Gajjar
In the present work we investigate some classes of graphs and disjoint union of some classes of graphs which admit prime labeling. We also investigate prime labeling of a graph obtained by identifying two vertices of two graphs. We also investigate prime labe…
Zheng Yan
Let T be a tree. The set of leaves of Τ is denoted by Leaf( Τ ) . The subtree Τ —Leaf( Τ ) of T is called the stem of Τ . A stem is called a k -ended stem if it has at most k -leaves in it. In this paper, we prove the following theorem. Let G be a connected g…
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Open Journal of Discrete Mathematics (OJDM) is an openly accessible journal published quarterly. The goal of this journal is to provide a platform for scientists and academicians all over the world to promote,share,and discuss various new issues and developments in different areas of discrete mathematics. All manuscri… All articles are open access under a CC BY 4.0 licence, with authors retaining copyright.
Authors submit their manuscript, metadata, and declarations through the portal. There is no submission fee.
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