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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…
Bing Zhou
In this article we propose a new model for scheduling periodic tasks. The model is based on a variation of the circular chromatic number, called the multiple circular colouring of the conflict graph. We show that for a large class of graphs, this new model wi…
Henning Soller
We consider the solution of matching problems with a convex cost function via a network flow algorithm. We review the general mapping between matching problems and flow problems on skew symmetric networks and revisit several results on optimality of network f…
Amanda M. Miller, David L. Farnsworth
Using geometric techniques, formulas for the number of squares that require k moves in order to be reached by a sole knight from its initial position on an infinite chessboard are derived. The number of squares reachable in exactly k moves are 1, 8, 32, 68, a…
Asma Hamzeh, Ali Iranmanesh, Samaneh Hossein-Zadeh
In [1], Hamzeh, Iranmanesh and Hossein-Zadeh and M. V. Diudea recently introduced the generalized degree distance of graphs. In this paper , we present explicit formulas for this new graph invariant of the Cartesian product, composition, join, disjunction and…
Garib Movsisyan
In the present work , the class of metrics connected with subsets of the linear space on the field, GF(2), is considered and a number of facts are established, which allow us to express the correcting capacity of codes for the additive channel in terms of thi…
Yuan Li, David Murrugarra, John O. Adeyeye, Reinhard Laubenbacher
In this paper, we extend the definition of Boolean canalyzing functions to the canalyzing functions of multi-state case. Namely, f:Q n → Q , where Q={a 1 ,a 2 ,...,a q } . We obtain its cardinality and the cardinalities of its various subsets (They may not be…
Zhanjun Su, Sipeng Li, Jian Shen
Let C be a plane convex body. For arbitrary points , a,b ∈E n denote by │ ab │ the Euclidean length of the line-segment ab. Let a 1 b 1 be a longest chord of C parallel to the line-segment ab . The relative distance d c (a,b) between the points a and b is the…
Jufang Wang, Changlong Yu, Zhifeng Gao
This paper considers the problem of robust passive control for uncertain discrete systems with time-varying delays. We pay attention to design ing a state feedback controller which guarantees the passivity of the closed-loop system for all admissible uncertai…
Garib Movsisyan
Many problems of discrete optimization are connected with partition of the n -dimensional space into certain subsets, and the requirements needed for these subsets can be geometrical — for instance, their sphericity — or they can be con nected with certain me…
Lenwood S. Heath, Ajit Kumar Nema
A partial order or poset P=(X, <) on a (finite) base set X determines the set L(P) of linear extensions of P. The problem of computing, for a poset P, the cardinality of L(P) is #P-complete. A set {P 1 ,P 2 , ... ,P k } of posets on X covers the set of linear…
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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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