The existence of k-radius sequences
نویسندگان
چکیده
منابع مشابه
The existence of k-radius sequences
Let n and k be positive integers, and let F be an alphabet of size n. A sequence over F of length m is a k-radius sequence if any two distinct elements of F occur within distance k of each other somewhere in the sequence. These sequences were introduced by Jaromczyk and Lonc in 2004, in order to produce an efficient caching strategy when computing certain functions on large data sets such as me...
متن کاملConstructing k-radius sequences
An n-ary k-radius sequence is a finite sequence of elements taken from an alphabet of size n such that any two distinct elements of the alphabet occur within distance k of each other somewhere in the sequence. These sequences were introduced by Jaromczyk and Lonc to model a caching strategy for computing certain functions on large data sets such as medical images. Let fk(n) be the shortest leng...
متن کاملDegree Sequences and the Existence of k-Factors
We consider sufficient conditions for a degree sequence π to be forcibly k-factor graphical. We note that previous work on degrees and factors has focused primarily on finding conditions for a degree sequence to be potentially k-factor graphical. We first give a theorem for π to be forcibly 1-factor graphical and, more generally, forcibly graphical with deficiency at most β ≥ 0. These theorems ...
متن کاملSequences of Radius k for Complete Bipartite Graphs
A k-radius sequence for a graph G is a sequence of vertices of G (typically with repetitions) such that for every edge uv of G vertices u and v appear at least once within distance k in the sequence. The length of a shortest k-radius sequence for G is denoted by fk(G). We give an asymptotically tight estimation on fk(G) for complete bipartite graphs which matches a lower bound, valid for all bi...
متن کاملExistence of a delayed rectifier K+ current in the membrane of human embryonic stem cel
Introduction: Human embryonic stem cells (hESCs) are pluripotent cells that can proliferate and differentiate to many cell types. Their electrophysiological properties have not yet been chracterzed. In this study, the passive properties (such as resting membrane potential, input resistance and capacitance) and the contribution of delayed rectifier K+ channel currents to the membrane conducta...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Combinatorial Theory, Series A
سال: 2012
ISSN: 0097-3165
DOI: 10.1016/j.jcta.2011.08.004