Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The luminosity function of cluster galaxies: relations among M_1, M* and
  the morphological type   A study of the luminosity function of 36 Abell clusters of galaxies has been
carried out using photographic plates obtained with the Palomar 1.2 m Schmidt
telescope. The relation between the magnitude M_1 of the brightest cluster
member and the Schechter function parameter M* has been analyzed. A positive
correlation between M* and M_1 is found. However clusters appear segregated in
the M_1-M* plane according to their Rood & Sastry class in such a way that on
average M_1 becomes brighter while M* becomes fainter going from late to early
Rood & Sastry and also Bautz & Morgan classes. Also a partial correlation
analysis involving the magnitude M_10 of the 10th brightest galaxy, shows a
negative intrinsic correlation between M_1 and M*. These results agree with the
cannibalism model for the formation of brightest cluster members, and provide
new constraints for theories of cluster formation and evolution.

25
The categories of this paper are: patt-sol
31
The categories of this paper are: ao-sci
9
The categories of this paper are: nlin
22
The categories of this paper are: chao-dyn
19
The categories of this paper are: eess
24
The categories of this paper are: dg-ga
32
The categories of this paper are: atom-ph
11
The categories of this paper are: hep-lat
21
The categories of this paper are: adap-org
27
The categories of this paper are: comp-gas
28
The categories of this paper are: alg-geom
16
The categories of this paper are: stat
3
The categories of this paper are: physics
7
The categories of this paper are: hep-th
37
The categories of this paper are: supr-con
15
The categories of this paper are: nucl-ex