All introns of most IQD genes are phase-0 introns, separating exactly two triplet codons [ 38].
A Skolem sequence of order n is a sequence Sn="(s1,…2,s2n2n) of 2n integers containing each of the integers 1,2,…,n exactly twice, such that two occurrences of the integer j∈{1,2,…,n} are separated by exactly j−1 integers.
A hooked Skolem sequence of order n is a sequence hSn="(s1,…2,s2n+1+1) of 2n+1 integers containing each of the integers 1,2,…,n exactly twice, such that two occurrences of the integer j∈{1,2,…,n} are separated by exactly j−1 integers, and s2n="0.
At five kilometers, the top 10 runners were separated by exactly one second.
Each peak was separated by exactly 7 days and lasted for 2 days.
The two visits to the sleep lab were separated by exactly one week.
We can prove that any pair of complementary sensor subsets of S1 is separated by exactly three hops.
The set S1 found by Algorithm 1 is an independent set, and any pair of complementary sensor subsets of S1 is separated by exactly three hops.
The first phase is to construct a special independent set S1 and any pair of complementary subsets of S1 is separated by exactly three hops.
Firstly, we propose a novel method to construct an independent set S1 for the graph G such that any pair of complementary sensor subsets for S1 is separated by exactly three hops.
