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Multicast Triangular Semilattice Network
[article]
2018
arXiv
pre-print
We investigate the structure of the code graph of a multicast network that has a characteristic shape of an inverted equilateral triangle. ...
' receivers and required field sizes up to a network of 4 sources. ...
A k-triangle in a triangular semilattice network ▽ n is a subgraph isomorphic as a directed graph to a triangular semilattice network ▽ k . We call k the length of a k-triangle. ...
arXiv:1808.04512v1
fatcat:2oeod2vptfdarivu4ggoecpgpi
Cantor meets Scott: Semantic Foundations for Probabilistic Networks
[article]
2016
arXiv
pre-print
implementation and show how to use it to solve a variety of problems including characterizing the expected congestion induced by different routing schemes and reasoning probabilistically about reachability in a network ...
(M, ) is not a Semilattice Despite the fact that (M, ) is a directed set (Lemma 12), it is not a semilattice. Here is a counterexample. Let b = {π, σ, τ }, where π, σ, τ are distinct packets. ...
Consider the infinite triangular matrix E and its inverse E −1 with rows and columns indexed by the finite subsets of H, where Eac = [a ⊆ c] E −1 ac = (−1) |c−a| [a ⊆ c] . ...
arXiv:1607.05830v5
fatcat:dktiz7otdzfflnw2lsctab2ife
Cantor meets Scott: semantic foundations for probabilistic networks
2017
SIGPLAN notices
implementation and show how to use it to solve a variety of problems including characterizing the expected congestion induced by different routing schemes and reasoning probabilistically about reachability in a network ...
Surprisingly, despite Lemma 12, the probability measures do not form an upper semilattice under , although counterexamples are somewhat difficult to construct. ...
Consider the infinite triangular matrix E and its inverse E −1 with rows and columns indexed by the finite subsets of H, where Eac = [a ⊆ c] E −1 ac = (−1) |c−a| [a ⊆ c]. ...
doi:10.1145/3093333.3009843
fatcat:mdvrhemsxnblpoxseuh6nkjvc4