tailieunhanh - Managing and Mining Graph Data part 5

Managing and Mining Graph Data part 5 is a comprehensive survey book in graph data analytics. It contains extensive surveys on important graph topics such as graph languages, indexing, clustering, data generation, pattern mining, classification, keyword search, pattern matching, and privacy. It also studies a number of domain-specific scenarios such as stream mining, web graphs, social networks, chemical and biological data. The chapters are written by leading researchers, and provide a broad perspective of the area. This is the first comprehensive survey book in the emerging topic of graph data processing. . | Graph Data Management and Mining A Survey of Algorithms and Applications disjoint chains and then use chains to cover the graph. The intuition of using a chain is similar to using a tree if v can reach u on a chain hen v can reach any node that comes after u on that chaim I icce chain-c ver approach achieves O nk query time where k is the number of chains in die graph. Cohen et al. 544 neoposed is 2-hoif cover for seachability queries. A node u is labeled by two ee-s of nodes called Lin u and Lout u where Lin u aie ihe nodes that can reach u and Lou t u rae ihe ones lhal u can reach. The 2fhop approach aestgni the Lin and Lout labels io each node such that u can re th v i- and onl- if Lout u n Lin v 0. The optimal h -dioji cover problem of finding the minimum dice 24iop covci is NPthard. A giddy algorithm finds a 2-hop cover iteratively in cacti iitraliom ir picks the node w that maximizes Che value of Aw D jDFC u a Tq rpriri i nK llip npu. Oini MvprpilI A i WlidC rD i -uj W n1 II - - Vy LUft Ctiuir yLlllGO VdCGy rcacli hilily that a C-Iioc cluster centered at w can cover and dw DW is tiiei et ei. sczei of the i-bop cluster centered at w. Several aigotiihms have been pcopotcd compute hinh quality h-bop coverr 54 168 49 48 in a more clfictcnl manner Many exlensionr to existing set covering based approaches have been proposed Tos example. Jin et ai. i 12 introduces a 3-hop cover approach that combines the chatn cover and the 2-hop cover. Extensions to the reachability problem. 1 ieachtihiiiiy queries are one id the most basic budding Nocks lor many advanced graph operations and tome are directly related io i eadn bihi queries. One interesting problem is in the domatn nf labeled graphs. in many applications edges are labeled to denote Iíiii reiationships between the two n i diti they connect. A new type of reachabilíty query askt wheHcei two nodes tae connected by a path whose edgei rae coxnltained by a given see ol tahcts fill In some .