Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Extremal graphs for clique-paths   In this paper we deal with a Tur\'an-type problem: given a positive integer n
and a forbidden graph H, how many edges can there be in a graph on n vertices
without a subgraph H? How does a graph look like if it has this extremal edge
number?
  The forbidden graph in this article is a clique-path: a path of length k
where each edge is extended to an r-clique, r >2. We determine both the
extremal number and the extremal graphs for sufficiently large n.

33
The categories of this paper are: plasm-ph
9
The categories of this paper are: nlin
31
The categories of this paper are: ao-sci
37
The categories of this paper are: supr-con
20
The categories of this paper are: acc-phys
27
The categories of this paper are: comp-gas
30
The categories of this paper are: q-alg
23
The categories of this paper are: solv-int
5
The categories of this paper are: gr-qc
10
The categories of this paper are: q-bio
3
The categories of this paper are: physics
21
The categories of this paper are: adap-org
4
The categories of this paper are: cond-mat
8
The categories of this paper are: hep-ex
14
The categories of this paper are: math-ph
28
The categories of this paper are: alg-geom