Sep 6, 2022 · Abstract. We study the sequences whose one period contains all the n-binary vectors of Hamming weight \(\le k\) exactly once. It is well known ...
Missing: k$
Sep 6, 2022 · A classical method for constructing such sequences is by joining the cycles generated by pure circulating registers, pure summing registers or ...
Jul 1, 2024 · We also show that any weighted undirected graph of minimum degree 2k-1 contains a cycle of weight divisible by k. This result is proved in the ...
Missing: Properties vectors
Sep 1, 2013 · Yes, the span of the columns of a matrix is the entire Rn if and only if the row echelon form has a leading one in each row.
Properties of the cycles that contain all vectors of weight $\le k$. Des. Codes Cryptogr. 91(1): 221-239 (2023). [j9]. view. electronic edition via DOI ...
In this paper we give a polynomial time algorithm to solve MWIS in long-hole-free graphs with no $k$-prism (for any fixed integer $k$), and a subexponential ...
The main point about a cycle encoded as a vector is that each vertex of the graph contributes an even number of ones to this vector (possibly none). Consider ...
So, every general property of normed vector spaces applies to inner product spaces. In particular, one has the following properties: Absolute homogeneity ...
Nov 13, 2020 · If SF is linearly dependent, then we can choose vectors c1,…,ck∈SF, corresponding to edges f1,…,fk∈F, such that there exists a linear ...
Jul 17, 2013 · Distributive property of scalar multiplication over vector addition: For all vectors u and v and scalars r, we have r(u + v) = ru + rv. 10.