All Questions
5 questions
11
votes
5
answers
506
views
What are efficient pooling designs for RT-PCR tests?
I realize this is long, but hopefully I think it may be worth the reading for people interested in combinatorics and it might prove important to Covid-19 testing. Slightly reduced in edit.
The ...
4
votes
3
answers
340
views
Relation between diametral path and regularity of a graph
Let $G(V,E)$ be a graph. A path whose length is equal to the diameter of a graph is called a diametral path. In a cycle graph every vertex has $2$ diametral paths. Now I need to prove that this:
If ...
13
votes
3
answers
2k
views
Models for graphs representing real-life networks
I am interested in basic models of graphs (stochastic or deterministic) that are offered for real-life networks (like social networks, the Internet, neuron networks).
I will be thankful for answers ...
0
votes
1
answer
118
views
Comparing ideals in posets
Consider a partially ordered set $P$, and two upper sets $U_1$, $U_2$ in this poset.
What are some natural ways to measure how equal these two upper sets are?
This question arise naturally in the ...
5
votes
2
answers
629
views
Average number of distinguished leaves in a binary tree
By a binary tree, I mean in this question a full rooted binary tree in which left and right child are labeled. A leaf of such a tree is a vertex of degree at most 1 (most references would probably ...