| L. Katz. A new status index derived from sociometric analysis. Psychometrika, 18(1):39--43, 1953. |
....the weight factors accordingly. The algorithm stops either when n links have been traversed, or the nodes that can be reached from node i are exhausted. The idea of applying an exponentially decreasing weighting scheme to paths that originate from a node has been previously considered by Katz [29]. In the algorithm of Katz, for some fixed parameter # 1, the weight of node i is equal to k=1 j=1 [j, i] where W is the k th power of the adjacency matrix W . The entry W [j, i] is the number of paths in the graph G of length k from node j to node i. As we move further away ....
L. Katz. A new status index derived from sociometric analysis. Psychometrika, 18:39--43, 1953.
....if the hyperlink was generated for example by a Web authoring tool. 4 The idea of studying referrals is not new. There is a sub eld of classical information retrieval, called bibliometrics, where citations were analyzed. See, e.g. 23, 17, 37, 18] The eld of sociometry developed algorithms [24, 30] very similar to the connectivity based ranking techniques described in [6, 25] Furthermore, a large amount of Web related research exploits the hyperlink structure of the Web. A Graph Representation for the Web The Web can be represented as a graph in many di erent ways. Connectivity based ....
L. Katz. A new status index derived from sociometric analysis. Psychometrika, 18(1):39-43, March 1953.
.... )1 p T T p (k) converges to a unique prominence vector. On the grid in Fig. 1(b) the random surfer may jump to any vertex, but is most likely to walk towards the upper and right side of the grid, from where the only continuation is towards the upper right corner. Katz s status index [18]. As a generalization of simply using indegrees to measure status in social networks, the prominence of a vertex is determined by the number of directed paths of arbitrary length ending in the vertex, where the in uence of longer paths is attenuated by a decay factor. Recall that the entries of ....
L. Katz. A new status index derived from sociometric analysis. Psychometrika, 18:39-43, 1953.
....regarding the role of www hyperlinks as conferrors of authority. Links may have different (nonnegative) weights, corresponding to the strength of different endorsements; let A denote the matrix whose (i , j)th entry represents the strength of the endorsement from a node i # V to a node j # V . Katz [1953] proposed a measure of standing based on path counting, a generalization of ranking based on in degree. For nodes i and j, let P ij #r# denote the number of paths of length exactly r from i to j. Let b # 1 be a constant chosen to be small enough that Q ij ## r#1 # b r P ij #r# converges ....
KATZ, L. 1953. A new status index derived from sociometric analysis. Psychometrika 18, 39 -- 43.
....the number of edges directed to the vertex. Since this de nition takes into account only status gained from direct links, several approaches have been developed to include also indirect links. To convey the avor of these approaches, a commonly used de nition of status is presented. Introduced in [12], it rests on the assumption that links from actors that have high status themselves contribute more to a receiving actor s status than links from others. This recursive de nition leads to the following equilibrium equation. Let a 1 be an attenuation factor indicating the decrease of status ....
L. Katz. A new status index derived from sociometric analysis. Psychometrika, 18:39-43, 1953.
....role of www hyperlinks as conferrors of authority. Links may have di#erent (non negative) weights, corresponding to the strength of di#erent endorsements; let A denote the matrix whose (i, j) th entry represents the strength of the endorsement from a node i # V to a node j # V . 14 Katz [35] proposed a measure of standing based on path counting, a generalization of ranking based on in degree. For nodes i and j, let P #r# ij denote the number of paths of length exactly r from i to j. Let b 1 be a constant chosen to be small enough that Q ij = # # r=1 b r P #r# ij converges for ....
L. Katz, "A new status index derived from sociometric analysis," Psychometrika, 18(1953), pp. 39--43.
....the crawl. In contrast, hubs are good for crawling, and good hubs should be checked frequently for new resource links. 2.2.1 Query based distillation review The Web is an example of a social network. The edges of a social network can be analyzed to identify pages that are central in some sense [21, 28, 33]. Similar techniques have been applied to the Web graph. Brin and Page [5] model the prestige of a page v as roughly the sum total of the prestige of pages that cite v. If E is the node adjacency matrix, the prestige of a node is the appropriate component of the dominant eigenvector of E. ....
L. Katz. A new status index derived from sociometric analysis. Psychometrika, 18(1):39--43, Mar. 1953.
....measure of the prestige p.u . A better measure is weighted citations, or the total prestige of papers that cite a paper. This notion is circular but can be resolved by an iterative eigen computation to find the fixpoint of p D Ep,whereE is the directed adjacency matrix, as described by Katz [20] in 1953 and adapted to the Web by Page et al. 4] Mizruchi et al. 25] recognized that centrality in a social network can be disaggregated into derived and reflected centrality. They found two types of nodes: bridges which have high derived centrality, and hubs which link with good authorities ....
....papers from a given list of starting points at suitable department and universities. These are special cases of the general example and topicdriven automatic Web exploration that we undertake. Social networks have been analyzed for decades to find nodes with high prestige and reflected prestige [20,25,31]. Similar to PageRank [4] HITS [21] CLEVER [6] topic distillation [3] and link based similarity search [13] we use social network analysis as a subroutine in our system. However, there are several important distinctions. Our distiller integrates topical content into the link graph model. ....
L. Katz, A new status index derived from sociometric analysis, Psychometrika 18(1) (March 1953) 39--43.
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L. Katz. A new status index derived from sociometric analysis. Psychometrika, 18(1):39--43, 1953.
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L. Katz. A new status index derived from sociometric analysis. Psychometrika, 18:39--43, 1953.
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L. Katz. A new status index derived from sociometric analysis. Psychmetrika, 18(1):39--43, 1953. 21
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L. Katz. A new status index derived from sociometric analysis. Psychmetrika, 18(1):39--43, 1953.
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Leo Katz. A new status index derived from sociometric analysis. Psychometrika, 18(1):39--43, March 1953.
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Leo Katz. A new status index derived from sociometric analysis. Psychometrika, 18(1):39--43, March 1953.
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L. Katz. A new status index derived from sociometric analysis. Psychometrika, 18:39-43, 1953.
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Leo Katz. A new status index derived from sociometric analysis. Psychometrika, 18:39--43, 1953.
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L. Katz. A new status index derived from sociometric analysis. Psychometrika, 18:39--43, 1953.
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