In this paper a graph theoretical elaboration of the stochastic cumulative scaling model of Mokken (1970) is given to determine: (a) cumulative scales of vertices on the basis of their relations with other vertices in a simple graph; and (b) cumulative scales of relations in a multigraph. In Stokma
Graphs of cumulative residuals
โ Scribed by E. B. Kraus
- Publisher
- John Wiley and Sons
- Year
- 1956
- Tongue
- English
- Weight
- 180 KB
- Volume
- 82
- Category
- Article
- ISSN
- 0035-9009
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โฆ Synopsis
Abstract
The particular uses of cumulative residuals are demonstrated by two plots of annual Nile discharge at Aswan. It is shown that the mean regime of the Nile changed abruptly in 1898 in conformance with secular rainfall changes throughout most of the tropics. No trend is apparent in the two periods before and after 1898.
๐ SIMILAR VOLUMES
## Abstract The residue __R__ of a simple graph __G__ of degree sequence __S__: __d__~1~ โฉพ __d__~2~ โฉพ โฆ๏ธ โฉพ __d__~__n__~ is the number of zeros obtained by the iterative process consisting of deleting the first term __d__~1~ of __S__, subtracting 1 from the __d__~1~ following ones, and sorting down
Favaron, Mahรฉo, and Saclรฉ proved that the residue of a simple graph G is a lower bound on its independence number ฮฑ(G). For k โ N, a vertex set X in a graph is called k-independent, if the subgraph induced by X has maximum degree less than k. We prove that a generalization of the residue, the k-resi