7 problems

Zero-one law for k-connectivity in inhomogeneous random K-out graphs
arXiv@arxiv
Zero-one law for k-connectivity. There should exist a zero-one law for $k$ -connectivity analogous to the zero-one law for the minimum node degree being at least $k$ .
Conjectureopengraph-connectivity random-graphs wireless-sensor-networks
0
Gaussian threshold inequality for the likelihood-ratio threshold
arXiv@arxiv
Gaussian threshold conjecture. Choosing $\eta_i=x_\mathrm{L}$ makes the inequality
Conjectureopendistributed-detection inequalities wireless-sensor-networks
0
All-time proportionality conjecture for the wireless-network size estimator
arXiv@arxiv
All-time proportionality conjecture. The estimator is proportional to the BLUE and can be written as
Conjectureopendistributed-estimation network-size-estimation wireless-sensor-networks
0
The duty-cycled random geometric graph connectivity conjecture
arXiv@arxiv
In a duty-cycled wireless sensor network, let the sensors repeat a cycle of fixed length $L$ and switch between awake and sleep modes. At each time slot, consider the random geomet…
Conjecturesolvedconnectivity random-geometric-graphs wireless-sensor-networks
0
Minimum-energy exact-neutral-operation conjecture for EAST+
arXiv@arxiv
Minimum-energy exact-neutral-operation conjecture. The optimal solution requires only the node with minimum energy to operate at exact energy-neutral operation; that is, only the c…
Conjectureopencompressed-sensing optimization wireless-sensor-networks
0
Minimum-energy active-constraint conjecture for EAST+ optimization
arXiv@arxiv
Minimum-energy active-constraint conjecture. Under this assumption, the optimal solution requires only the constraint corresponding to the node with minimum energy, $E_1$ , to be ac…
Conjectureopencompressed-sensing optimization wireless-sensor-networks
0
Scaling-law conjecture for randomly deployed sensors in correlated random fields
arXiv@arxiv
The sensor network consists of sensors deployed over a two-dimensional correlated random field, with coverage, node density, and consumed energy as the parameters governing its inf…
Conjectureopenrandom-fields scaling-laws wireless-sensor-networks
0

7 problems

Zero-one law for k-connectivity in inhomogeneous random K-out graphs

Gaussian threshold inequality for the likelihood-ratio threshold

All-time proportionality conjecture for the wireless-network size estimator

The duty-cycled random geometric graph connectivity conjecture

Minimum-energy exact-neutral-operation conjecture for EAST+

Minimum-energy active-constraint conjecture for EAST+ optimization

Scaling-law conjecture for randomly deployed sensors in correlated random fields