The k-limited packing number, $L_k(G)$, of a graph $G$, introduced by Gallant, Gunther, Hartnell, and Rall, is the maximum cardinality of a set $X$ of vertices of $G$ such that every vertex of $G$ has at most $k$ elements of $X$ in its closed neighbo...
Hashtags in twitter are used to track events, topics and activities. Correlated hashtag graph represents contextual relationships among these hashtags. Maximum clusters in the correlated hashtag graph can be contextually meaningful hashtag groups. In...
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Let $f^{(r)}(n;s,k)$ denote the maximum number of edges in an $n$-vertex $r$-uniform hypergraph containing no subgraph with $k$ edges and at most $s$ vertices. Brown, Erdős and Sós [New directions in the theory of graphs (Proc. Third Ann Arbor Conf...
Let $f^{(r)}(n;s,k)$ be the maximum number of edges of an $r$-uniform hypergraph on $n$ vertices not containing a subgraph with $k$ edges and at most $s$ vertices. In 1973, Brown, Erdős and Sós conjectured that the limit $$\lim_{n\to \infty} n^{-2}...
There is no one answer of "how little". Each terrestrial plant depending upon its type has some minimum below and a maximum above which it could not survive over a sustained time at that level. So it's not …
In this paper, we introduce transformations of deep rectifier networks, enabling the conversion of deep rectifier networks into shallow rectifier networks. We subsequently prove that any rectifier net of any depth can be represented by a maximum of a...
Mar 9, 2025 · Also known as the Brahmaputra Canyon or the Tsangpo Gorge, the Yarlung Tsangpo Grand Canyon is the world’s deepest canyon, reaching a maximum depth of 19,714 ft.
The inducibility of a graph represents its maximum density as an induced subgraph over all possible sequences of graphs of size growing to infinity. This invariant of graphs has been extensively studied since its introduction in $1975$ by Pippenger a...
Lake Winnebago is located in east-central Wisconsin, and it is the largest lake within the state. It covers over 131,939 acres and has a maximum depth of 21 feet.
Lake Kegonsa is a freshwater lake located in southern Wisconsin. It is one of the largest lakes in the area, with a surface area of approximately 3,200 acres and a maximum depth of around 32 feet. The …
Manistee Lake is a large, shallow freshwater lake located in Kalkaska County, Michigan, United States. It covers an area of approximately 860 acres (3.48 square kilometers) and has a maximum depth of …
minimum of 1 day-fine, up to a maximum of 120 day-fines. If several crimes are punished together, 240 day-fines may be sentenced. The fines may not be sentenced
We introduce a learning-based algorithm to obtain a measurement matrix for compressive sensing related recovery problems. The focus lies on matrices with a constant modulus constraint which typically represent a network of analog phase shifters in hy...
May 29, 2017 · The maximum speed at the bottom of the drop is 26.4m/s 3-The speed at the bottom of the drop is independent of the mass of the car. To find the speed of the car we will need to find how …
This work proposes a tractable estimation of the maximum a posteriori (MAP) threshold of various families of sparse-graph code ensembles, by using an approximation for the extended belief propagation generalized extrinsic information transfer (EBP-GE...
Let F be a hypergraph and let forb(m,F) denote the maximum number of edges a hypergraph with m vertices can have if it doesn't contain F as a subhypergraph. A conjecture of Anstee and Sali predicts the asymptotic behaviour of forb(m,F) for fixed F. I...
This list of deepest caves includes the deepest known natural caves according to maximum surveyed depth as of 2025[update]. The depth value is measured
скважина СГ-3, romanized: Kol'skaya sverkhglubokaya skvazhina SG-3) is the deepest human-made hole on Earth (since 1979), which attained maximum true vertical
Mar 9, 2025 · Also known as the Brahmaputra Canyon or the Tsangpo Gorge, the Yarlung Tsangpo Grand Canyon is the world’s deepest canyon, reaching a maximum depth of 19,714 ft.