منابع مشابه
Representation Numbers of Stars
A graph G has a representation modulo r if there exists an injective map f : V (G) → {0, 1, . . . , r−1} such that vertices u and v are adjacent if and only if f(u)−f(v) is relatively prime to r. The representation number rep(G) is the smallest positive integer r for which G has a representation modulo r. In this paper we study representation numbers of the stars K1,n. We will show that the pro...
متن کاملThe Representation of Numbers
This article explores the representational structures of numeration systems and the cognitive factors of the representational effect in numerical tasks, focusing on external representations and their interactions with internal representations. Numeration systems are analyzed at four levels: dimensionally, dimensional representations, bases, and symbol representations. The representational prope...
متن کامل39 Representation of Numbers
For modulating signals, the compact (see note 1) representation of the signals assumes importance to simplify the design of circuits and in the context of design of systems that are robust This article examines the nature of numbers and goes on to survey the methods of representing algebraic irrational numbers. It also briefly examines the methods of physically realizing the same, especially in...
متن کاملRepresentation Numbers of Sparse Graphs
We study the representation number for various sparse graphs; in particular, we give an exact formula for graphs with a single edge and complete binary trees and an improved lower bound for the representation number of the hypercube. We also study the prime factorization of the representation number of graphs with a single edge.
متن کاملThe Representation of Real Numbers
where f(x) is an arbitrary function in the class Ep. Some functions (for example, f(x) =x/p, which leads to the representation of a number as a decimal to the base p) when employed in the algorithm (A) yield one-one correspondences between real numbers and sequences of integers mod p. On the other hand, any function, for example, whose graph has more than one point in common with any of the str...
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 1976
ISSN: 0002-9939
DOI: 10.2307/2041508