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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…
Kenneth Gill, Viorel Nitica
Let T n be the set of ribbon L-shaped n-ominoes for some n ≥ 4 even, and let T + n be T n with an extra 2 x 2 square. We investigate signed tilings of rectangles by T n and T + n . We show that a rectangle has a signed tiling by T n if and only if both sides…
Nannan Wang, Yongqiang Zhao
A proper edge t -coloring of a graph G is a coloring of its edges with colors 1, 2,..., t , such that all colors are used, and no two adjacent edges receive the same color. A cyclically interval t -coloring of a graph G is a proper edge t -coloring of G such…
Paul A. Burchett
Both independence and independence-separation problems on chessboard graphs have been studied in detail, with hundreds of papers in the broader independence category, and several on the independence-separation problem variant for chessboard graphs. In this pa…
Naoto Morikawa
This paper shows the usefulness of discrete differential geometry in global analysis. Using the discrete differential geometry of triangles, we could consider the global structure of closed trajectories (of triangles) on a triangular mesh consisting of congru…
Amir Jafari, Amin Najafi Amin
Erd Ö s asks if it is possible to have n points in general position in the plane (no three on a line or four on a circle) such that for every i (1≤i≤n-1 ) there is a distance determined by the points that occur exactly i times. So far some examples have…
Yinkui Li, Qingning Wang, Xiaoling Wang
A k- tree of a connected graph G is a spanning tree with maximum degree at most k . The rupture degree for a connected graph G is defined by , where and , respectively, denote the order of the largest component and number of components in . In this paper, we…
Pooya Daneshmand, Kamyar Mirzavaziri, Madjid Mirzavaziri
Let n be a positive integer. A permutation a of the symmetric group of permutations of is called a derangement if for each . Suppose that x and y are two arbitrary permutations of . We say that a permutation a is a double derangement with respect to x and y i…
Hui Young Lee, Cheon Seoung Ryoo
In this paper, one introduces the polynomials R n (x) and numbers R n and derives some interesting identities related to the numbers and polynomials: R n and R n (x). We also give relation between the Stirling numbers, the Bell numbers, the R n and R n (x).
Wei Gao, Mohammad Reza Farahani, M. R. Rajesh Kanna
In theoretical chemistry, the researchers use graph models to express the structure of molecular, and the Zagreb indices and multiplicative Zagreb indices defined on molecular graph G are applied to measure the chemical characteristics of compounds and drugs.…
M. R. Rajesh Kanna, R. Pradeep Kumar, R. Jagadeesh
In this paper, we compute Atom-bond connectivity index, Fourth atom-bond connectivity index, Sum connectivity index, Randic connectivity index, Geometric-arithmetic connectivity index and Fifth geometric-arithmetic connectivity index of Dutch windmill graph.
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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.
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