6 problems

The information-order conjecture for interactive sensor-network communication
arXiv@arxiv
Information-order conjecture. If the nodes which have more information communicate first, then this brings down the overall communication complexity.
Conjectureopencommunication-complexity information-theory sensor-networks
0
Conjectured analogue of the minimum-degree zero-one law for k-connectivity
arXiv@arxiv
Zero-one law conjecture for k-connectivity. Under this scaling,
Conjectureopenconnectivity random-graphs sensor-networks
0
One-law conjecture for k-connectivity in inhomogeneous random K-out graphs
arXiv@arxiv
One-law conjecture for k-connectivity. If the one-law holds for the minimum node degree being at least $k$ , then the one-law for $k$ -connectivity is identical: under…
Conjectureopenconnectivity random-graphs sensor-networks
0
Asymptotic independence of the extreme eigenvalue fluctuations of a sample covariance matrix
arXiv@arxiv
Asymptotic independence conjecture. The fluctuations of $\hat{\lambda}_1$ and $\hat{\lambda}_N$ under $\mathcal H_0$ are asymptotically independent; consequently, the false-alarm c…
Conjectureopenrandom-matrix-theory sample-covariance-matrices sensor-networks
0
Finite-memory analogy for the contiguous sensor-network capacity gap
arXiv@arxiv
Finite-memory analogy conjecture. The reduction in sensing capacity caused by contiguous sensor fields of view is similar to the inferior performance of channel codes that have fin…
Conjectureopencoding-theory information-theory sensor-networks
0
Weighted-sum distinguishability explanation for sensing capacity
arXiv@arxiv
Weighted-sum distinguishability conjecture. The higher sensing capacity of a weighted sum than an un-weighted sum occurs because a weighted sum can distinguish among more target co…
Conjectureopeninformation-theory sensor-networks
0

6 problems

The information-order conjecture for interactive sensor-network communication

Conjectured analogue of the minimum-degree zero-one law for k-connectivity

One-law conjecture for k-connectivity in inhomogeneous random K-out graphs

Asymptotic independence of the extreme eigenvalue fluctuations of a sample covariance matrix

Finite-memory analogy for the contiguous sensor-network capacity gap

Weighted-sum distinguishability explanation for sensing capacity