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authorHolden Rohrer <holden.rohrer@gmail.com>2019-10-21 22:58:56 -0400
committerHolden Rohrer <holden.rohrer@gmail.com>2019-10-21 22:58:56 -0400
commit1a3e971805c9ef515695f7688ed6000dfafbf369 (patch)
treed8dc2b54d2e073d78364b274e219d688f8cabeee /progress
parent602c2e5d25c93a48e39ddd644f6eed530b921908 (diff)
Network Robustness
Diffstat (limited to 'progress')
-rw-r--r--progress/Network.tex3
-rw-r--r--progress/net-apps.tex3
-rw-r--r--progress/progress.tex2
3 files changed, 8 insertions, 0 deletions
diff --git a/progress/Network.tex b/progress/Network.tex
new file mode 100644
index 0000000..d165a01
--- /dev/null
+++ b/progress/Network.tex
@@ -0,0 +1,3 @@
+Network connectivity is usually an issue on a local scale: one router or modem or device has a broken component---usually software that needs to be reset in one way or another. However, it rears its head on a very large scale as well: routing connections, as mentioned earlier, relies on the ability to communicate with at least one ``neighbor'' on the network, which is fine unless that neighbor goes down for whatever reason. And in non-decentralized systems, such as modern ISPs, that's exactly what happens: a software bug or power outage or any sort of problem tanks an entire area's coverage for hours to days.
+
+\sinclude Combinatorics Applications:net-apps
diff --git a/progress/net-apps.tex b/progress/net-apps.tex
new file mode 100644
index 0000000..49000a4
--- /dev/null
+++ b/progress/net-apps.tex
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+Graphs, as noted in the textbook, describe similar situations very well: a member of the internet could draw out every other user and their connections as a graph, and that graph has measurable robustness. For a given service like Amazon AWS or Microsoft Azure, the service's connection to the rest of the web relies on hundreds of smaller connections in a distributed network across the nation.
+
+We want to, using graph theory, study the reliability of those services in terms of bridges or $k$-connectivity, as well as how that could be improved (especially for the consumer market).
diff --git a/progress/progress.tex b/progress/progress.tex
index ef5d722..a8b7b39 100644
--- a/progress/progress.tex
+++ b/progress/progress.tex
@@ -7,4 +7,6 @@
\include RSA Algorithm:RSA
+\include Network Robustness:Network
+
\bye