We shall discuss further regularity properties of null-additive fuzzy measure on metric spaces following the previous results. Under the null-additivity condition, some properties ...
We introduce the weak gap property for directed graphs whose vertex set S is a metric space of size n. We prove that, if the doubling dimension of S is a constant, any directed gra...
This paper offers a provisional mathematical typology of metrical representations. First, a family of algebras corresponding to different versions of grid and bracketed grid theor...
d Abstract) Sanjeev Arora∗ L´aszl´o Lov´asz† Ilan Newman‡ Yuval Rabani§ Yuri Rabinovich¶ Santosh Vempala Motivated by applications in combinatorial optimization, we ini...
In this paper, we study the rank distributions of linear codes. We give the analogous to the MacWilliams identity for the rank distributions of codes. The considerations of our pr...