Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: MIS on the fly   Humans are very good at optimizing solutions for specific problems.
Biological processes, on the other hand, have evolved to handle multiple
constrained distributed environments and so they are robust and adaptable.
Inspired by observations made in a biological system we have recently presented
a simple new randomized distributed MIS algorithm \cite{ZScience}. Here we
extend these results by removing a number of strong assumptions that we made,
making the algorithms more practical. Specifically we present an $O(\log^2 n)$
rounds synchronous randomized MIS algorithm which uses only 1 bit unary
messages (a beeping signal with collision detection), allows for asynchronous
wake up, does not assume any knowledge of the network topology, and assumes
only a loose bound on the network size. We also present an extension with no
collision detection in which the round complexity increases to $(\log^3 n)$.
Finally, we show that our algorithm is optimal under some restriction, by
presenting a tight lower bound of $\Omega(\log^2 n)$ on the number of rounds
required to construct a MIS for a restricted model.

11
The categories of this paper are: hep-lat
14
The categories of this paper are: math-ph
2
The categories of this paper are: math
23
The categories of this paper are: solv-int
33
The categories of this paper are: plasm-ph
31
The categories of this paper are: ao-sci
3
The categories of this paper are: physics
6
The categories of this paper are: astro-ph
10
The categories of this paper are: q-bio
0
The categories of this paper are: hep-ph
7
The categories of this paper are: hep-th
35
The categories of this paper are: mtrl-th
9
The categories of this paper are: nlin
36
The categories of this paper are: cmp-lg
5
The categories of this paper are: gr-qc
28
The categories of this paper are: alg-geom