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Graph mining is an important research area within the domain of data mining. The field of study concentrates on the identification of frequent subgraphs within graph data sets. The research goals are directed at: (i) effective mechanisms for generating candidate subgraphs (without generating duplicates) and (ii) how best to process the generated candidate… (More)

In this paper we consider the approximability of the maximum induced matching problem. We prove that there is some xed constant c such that the problem of approximating a maximum induced matching in 3s-regular graphs within a factor of c is NP-hard, for each s 1. In addition we give an approximation algorithm with asymptotic performance ratio d ? 1 for the… (More)

- Michele Zito
- ESA
- 2001

In this paper we introduce a general strategy for approximating the solution to minimisation problems in random regular graphs. We describe how the approach can be applied to the minimum vertex cover (MVC), minimum independent dominating set (MIDS) and minimum edge dominating set (MEDS) problems. In almost all cases we are able to improve the best known… (More)

The problem of determining the unsatisfiability threshold for random 3-SAT formulas consists in determining the clause to variable ratio that marks the experimentally observed abrupt change from almost surely satisfiable formulas to almost surely unsatisfiable. Up to now, there have been rigorously established increasingly better lower and upper bounds to… (More)

The problem of determining the unsatisfiability threshold for random 3-SAT formulas consists in determining the clause to variable ratio that marks the (experimentally observed) abrupt change from almost surely satisfiable formulas to almost surely unsatisfiable. Up to now, there have been rigorously established increasingly better lower and upper bounds to… (More)

- Artur Czumaj, Ian Finch, Leszek G Asieniec Yz, Alan Gibbons, Paul Leng, Wojciech Rytter +1 other
- 1999

Web traversal robots are used by search engines and in other applications to gather information periodically from large numbers of documents distributed throughout the Web. In this paper we study the issues involved in the design of algorithms for performing information gathering of this kind more eeciently, by taking advantage of anticipated variations in… (More)

In this paper we consider the problem of finding large collections of vertices and edges satisfying particular separation properties in random regular graphs of degree r, for each fixed r ≥ 3. We prove both constructive lower bounds and combinatorial upper bounds on the maximal sizes of these sets. The lower bounds are proved by analysing a class of… (More)

- B Aubert, R Barate, D Boutigny, F Couderc, J-M Gaillard, A Hicheur +494 others
- Physical review letters
- 2004

We present a measurement of the time-dependent CP-violating (CPV) asymmetries in B0-->K(0)(S)pi(0) decays based on 124x10(6) Upsilon(4S)-->BB decays collected with the BABAR detector at the PEP-II asymmetric-energy B factory at SLAC. In a sample containing 122+/-16 signal decays, we obtain the magnitudes of the direct CPV asymmetry… (More)

A graph-based approach to document classification is described in this paper. The graph representation offers the advantage that it allows for a much more expressive document encoding than the more standard bag of words/phrases approach , and consequently gives an improved classification accuracy. Document sets are represented as graph sets to which a… (More)