Adjacency Concept for Pairs of Natural Numbers

@inproceedings{Nakamura2004AdjacencyCF,
  title={Adjacency Concept for Pairs of Natural Numbers},
  author={Yatsuka Nakamura},
  year={2004}
}
The articles [8], [11], [10], [5], [1], [7], [12], [4], [3], [2], [9], and [6] provide the notation and terminology for this paper. In this paper i, j, k, k1, k2, n, m, i1, i2, j1, j2 are natural numbers. Let us consider i1, i2. We say that i1 and i2 are adjacent if and only if: (Def. 1) i2 = i1 + 1 or i1 = i2 + 1. One can prove the following propositions… CONTINUE READING