# DIMACS Seminar on Mathematics and Computer Science in Molecular Biology

## Title:

Characterizations of a Consensus Method for Molecular Sequences

## Speaker:

- William H. E. Day
- Univ. of New Foundland.
- Box 17, Port Maitland
- Nova Scotia B0W 2V0
- Canada

## Place:

- Seminar Room 431, CoRE Building,
- Busch Campus, Rutgers University.

## Time:

- 3 PM to 4 PM. ** Regular time **
- Monday, November 7, 1994

## Abstract:

The asymptotic plurality rule, apl, is a consensus function which maps each
profile P of length k (i.e., each sequence of k bases appearing at an aligned
position of k molecules) to a set apl ( P ) of results (i.e., ambiguity codes)
that is a descriptive summary of P. To make apl understandable to users, my
colleagues and I considered several complementary descriptions of apl and its
results. Initially we characterized each consensus result X = apl ( P ) in
terms of the frequencies with which the bases in P occur, and we used the
characterizations to investigate features (e.g., strong consistency) of apl
that researchers might find useful when interpreting apl's consensus results.
Another approach is to characterize the pre-image of each X in terms of linear
combinations of basic partitions. Perhaps apl might even have a plausible
likelihood interpretation. I will discuss such developments as time permits.
My work is part of an on-going collaboration with E. Kubicka, G. Kubicki
and F. R. McMorris at the Department of Mathematics, University of Louisville.

## General Announcement:

Coffee and cookies will be served
in the 4th floor lounge of the CoRE building before the talk. For
further information on this seminar series, contact

- Richa Agarwala (agarwala@dimacs.rutgers.edu)
- Vineet Bafna (bafna@dimacs.rutgers.edu)
- S. Muthukrishnan (muthu@dimacs.rutgers.edu)
- R. Ravi (rravi@dimacs.rutgers.edu)

dimacs-www@dimacs.rutgers.edu
Document last modified on November 5, 1994