Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: An Optimal and Progressive Approach to Online Search of Top-k
  Influential Communities   Community search over large graphs is a fundamental problem in graph
analysis. Recent studies propose to compute top-k influential communities,
where each reported community not only is a cohesive subgraph but also has a
high influence value. The existing approaches to the problem of top-k
influential community search can be categorized as index-based algorithms and
online search algorithms without indexes. The index-based algorithms, although
being very efficient in conducting community searches, need to pre-compute a
special-purpose index and only work for one built-in vertex weight vector. In
this paper, we investigate on-line search approaches and propose an
instance-optimal algorithm LocalSearch whose time complexity is linearly
proportional to the size of the smallest subgraph that a correct algorithm
needs to access without indexes. In addition, we also propose techniques to
make LocalSearch progressively compute and report the communities in decreasing
influence value order such that k does not need to be specified. Moreover, we
extend our framework to the general case of top-k influential community search
regarding other cohesiveness measures. Extensive empirical studies on real
graphs demonstrate that our algorithms outperform the existing online search
algorithms by several orders of magnitude.

4
The categories of this paper are: cond-mat
13
The categories of this paper are: quant-ph
20
The categories of this paper are: acc-phys
10
The categories of this paper are: q-bio
36
The categories of this paper are: cmp-lg
8
The categories of this paper are: hep-ex
7
The categories of this paper are: hep-th
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
21
The categories of this paper are: adap-org
35
The categories of this paper are: mtrl-th
12
The categories of this paper are: nucl-th
29
The categories of this paper are: funct-an
31
The categories of this paper are: ao-sci
2
The categories of this paper are: math