Based on the ideas in[9],an integer d<sup>0</sup>（v）,called the implicit degree of v whichsatisfies d<sup>0</sup>（v）≥d（v）,is associated with each vertex v of a graph G.It is proved that ...Based on the ideas in[9],an integer d<sup>0</sup>（v）,called the implicit degree of v whichsatisfies d<sup>0</sup>（v）≥d（v）,is associated with each vertex v of a graph G.It is proved that if theimplicit degree sequence d<sub>1</sub><sup>0</sup>,d<sub>2</sub><sup>0</sup>,…,d<sub>n</sub><sup>0</sup>（where d<sub>1</sub><sup>0</sup>≤d<sub>2</sub><sup>0</sup>≤…≤d<sub>n</sub><sup>0</sup>）of a simple graph G on n≥3vertices satisfiesd<sub>i</sub><sup>0</sup>≤i【n/2（?）d<sub>n-i</sub><sup>0</sup>≥n-i,then G is hamiltonian.This is an improvement of the well-known theorem of Chvatal（[4]）.展开更多
Graphs are widely used for modeling complicated data such as social networks,chemical compounds,protein interactions and semantic web.To effiectively understand and utilize any collection of graphs,a graph database th...Graphs are widely used for modeling complicated data such as social networks,chemical compounds,protein interactions and semantic web.To effiectively understand and utilize any collection of graphs,a graph database that efficiently supports elementary querying mechanisms is crucially required.For example,Subgraph and Supergraph queries are important types of graph queries which have many applications in practice.A primary challenge in computing the answers of graph queries is that pair-wise comparisons of graphs are usually hard problems.Relational database management systems（RDBMSs） have repeatedly been shown to be able to efficiently host different types of data such as complex objects and XML data.RDBMSs derive much of their performance from sophisticated optimizer components which make use of physical properties that are specific to the relational model such as sortedness,proper join ordering and powerful indexing mechanisms.In this article,we study the problem of indexing and querying graph databases using the relational infrastructure.We present a purely relational framework for processing graph queries.This framework relies on building a layer of graph features knowledge which capture metadata and summary features of the underlying graph database.We describe different querying mechanisms which make use of the layer of graph features knowledge to achieve scalable performance for processing graph queries.Finally,we conduct an extensive set of experiments on real and synthetic datasets to demonstrate the efficiency and the scalability of our techniques.展开更多
文摘Based on the ideas in[9],an integer d<sup>0</sup>（v）,called the implicit degree of v whichsatisfies d<sup>0</sup>（v）≥d（v）,is associated with each vertex v of a graph G.It is proved that if theimplicit degree sequence d<sub>1</sub><sup>0</sup>,d<sub>2</sub><sup>0</sup>,…,d<sub>n</sub><sup>0</sup>（where d<sub>1</sub><sup>0</sup>≤d<sub>2</sub><sup>0</sup>≤…≤d<sub>n</sub><sup>0</sup>）of a simple graph G on n≥3vertices satisfiesd<sub>i</sub><sup>0</sup>≤i【n/2（?）d<sub>n-i</sub><sup>0</sup>≥n-i,then G is hamiltonian.This is an improvement of the well-known theorem of Chvatal（[4]）.
文摘Graphs are widely used for modeling complicated data such as social networks,chemical compounds,protein interactions and semantic web.To effiectively understand and utilize any collection of graphs,a graph database that efficiently supports elementary querying mechanisms is crucially required.For example,Subgraph and Supergraph queries are important types of graph queries which have many applications in practice.A primary challenge in computing the answers of graph queries is that pair-wise comparisons of graphs are usually hard problems.Relational database management systems（RDBMSs） have repeatedly been shown to be able to efficiently host different types of data such as complex objects and XML data.RDBMSs derive much of their performance from sophisticated optimizer components which make use of physical properties that are specific to the relational model such as sortedness,proper join ordering and powerful indexing mechanisms.In this article,we study the problem of indexing and querying graph databases using the relational infrastructure.We present a purely relational framework for processing graph queries.This framework relies on building a layer of graph features knowledge which capture metadata and summary features of the underlying graph database.We describe different querying mechanisms which make use of the layer of graph features knowledge to achieve scalable performance for processing graph queries.Finally,we conduct an extensive set of experiments on real and synthetic datasets to demonstrate the efficiency and the scalability of our techniques.
