An infinite class of generalized room squares

an infinite planar array of rectangular microstrip patch antenna analysis

the methods which are used to analyze microstrip antennas, are divited into three categories: empirical methods, semi-empirical methods and full-wave analysis. empirical and semi-empirical methods are generally based on some fundamental simplifying assumptions about quality of surface current distribution and substrate thickness. thses simplificatioms cause low accuracy in field evaluation. ful...

Compatibly ordered Room squares

Amalgamating infinite latin squares

A finite latin square is an n × n matrix whose entries are elements of the set {1, . . . , n} and no element is repeated in any row or column. Given equivalence relations on the set of rows, the set of columns, and the set of symbols, respectively, we can use these relations to identify equivalent rows, columns and symbols, and obtain an amalgamated latin square. There is a set of natural equat...

An Infinite Class of Sparse-Yao Spanners

We show that, for any integer k ≥ 6, the Sparse-Yao graph Y Y6k (also known as Yao-Yao) is a spanner with stretch factor 11.67. The stretch factor drops down to 4.75 for k ≥ 8.

Generalized latin squares I

The classical definition of Latin squares is generalized by allowing multiple occurrences of symbols in each row and each column. A perfect (k, I)-Latin square is an N x N array in which any row or column contains every distinct symbol and the symbol at position (i, j) appears exactly k times in the ith row and I times in the jth column, or vice versa. Existence of such squares and the notion o...