Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Boundary cliques, clique trees and perfect sequences of maximal cliques
  of a chordal graph   We characterize clique trees of a chordal graph in their relation to
simplicial vertices and perfect sequences of maximal cliques. We investigate
boundary cliques defined by Shibata and clarify their relation to endpoints of
clique trees. Next we define a symmetric binary relation between the set of
clique trees and the set of perfect sequences of maximal cliques. We describe
the relation as a bipartite graph and prove that the bipartite graph is always
connected. Lastly we consider to characterize chordal graphs from the aspect of
non-uniqueness of clique trees.

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The categories of this paper are: solv-int
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The categories of this paper are: q-fin
2
The categories of this paper are: math
13
The categories of this paper are: quant-ph
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The categories of this paper are: acc-phys
11
The categories of this paper are: hep-lat
27
The categories of this paper are: comp-gas
34
The categories of this paper are: chem-ph
0
The categories of this paper are: hep-ph
35
The categories of this paper are: mtrl-th
31
The categories of this paper are: ao-sci
25
The categories of this paper are: patt-sol
33
The categories of this paper are: plasm-ph
21
The categories of this paper are: adap-org
18
The categories of this paper are: econ
30
The categories of this paper are: q-alg