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Showing papers on "Adjacency list published in 1980"


Journal ArticleDOI
TL;DR: It is shown that in many instances this adjacency matrix is superior to the usual (0, 1) adjacencies, and will distinguish cospectral pairs, when the latter will not.

77 citations



Proceedings ArticleDOI
06 May 1980
TL;DR: An analysis of the fault tolerance of β-networks intended for multicomputer applications and it is shown that there is a one-to-one correspondence between minimal critical faults and the cutsets of the circuit adjacency graphs derived from the β-network.
Abstract: Several proposals have been made for using a class of connecting networks called b-networks in multicomputer systems, such as systems containing large numbers of microprocessors. A b-network is a network of 2 × 2 crossbar switches called b-elements. This paper presents an analysis of the fault tolerance of b-networks intended for multicomputer applications. A fault model is used which allows b-elements to be stuck in either of their two normal states. A new connectivity property called dynamic full access (DFA) is introduced which serves as the criterion for fault tolerance. A b-network is said to have the DFA property if each of its inputs can be connected to any of its outputs in a finite number of passes through the network. A fault is called critical if it destroys the DFA property. Two graph-theoretical characterizations of the critical faults of a b-network are presented. It is shown that there is a one-to-one correspondence between minimal critical faults and the cutsets of the circuit adjacency graphs derived from the b-network. It is further shown that a fault is critical if and only if it is incompatible with all Eulerian circuits associated with the b-network. Some applications of the theory are discussed.

17 citations


Journal ArticleDOI
TL;DR: It is found that this problem is intimately related with the discovery of the highly symmetric graphs known as cages, and is thereby enabled to resolve this question for 1=n graphs.

12 citations


Posted Content
01 Jan 1980
TL;DR: In this article, the relations between connectivity and adjacency measures, developed in previous papers, as functions of the urban spatial structure, by means of multivariate statistical techniques at two levels of resolution and spatial aggregation for the kilometre square cells used to record the town of Reading, England.
Abstract: The objective of this paper is to study the relations between connectivity and adjacency measures, developed in previous papers, as functions of the urban spatial structure, by means of multivariate statistical techniques at two levels of resolution and spatial aggregation for the kilometre square cells used to record the town of Reading, England It is shown that of the measures studied one should be discarded as it has no functional relation with the urban spatial structure and the others are structurally interdependent with it It is concluded that, after having validated these measures with the urban spatial structure, they can be used as indices of built-form development

11 citations



Journal ArticleDOI
TL;DR: In this paper, the relations between connectivity and adjacency measures, developed in previous papers, as functions of the urban spatial structure, by means of multivariate statistical techniques at two levels of resolution and spatial aggregation for the kilometre square cells used to record the town of Reading, England.
Abstract: The objective of this paper is to study the relations between connectivity and adjacency measures, developed in previous papers, as functions of the urban spatial structure, by means of multivariate statistical techniques at two levels of resolution and spatial aggregation for the kilometre square cells used to record the town of Reading, England. It is shown that of the measures studied one should be discarded as it has no functional relation with the urban spatial structure and the others are structurally interdependent with it. It is concluded that, after having validated these measures with the urban spatial structure, they can be used as indices of built-form development.

9 citations


Journal ArticleDOI
Shoji Shinoda1
TL;DR: The characteristic polynomial of the adjacency matrix of the subdivision graph G is related to the characteristic poynomials of the adacency matrices of g and its line graph.

4 citations



Proceedings ArticleDOI
11 Nov 1980
TL;DR: A non-linear, image dependent, two dimensional filter for enhancing electro-optical images based upon the EIKONIX Diffusion Model for the photographic adjacency effect is introduced.
Abstract: This paper introduces a non-linear, image dependent, two dimensional filter for enhancing electro-optical images. The filter is termed the Diffusion Model Transformation (DMT) and is based upon the EIKONIX Diffusion Model for the photographic adjacency effect. The paper first discusses the photographic adjacency effect and presents several illustrations of its image enhancement potential. The DMT algorithm is then defined and examples of its application to electro-optical infrared imagery are presented.© (1980) COPYRIGHT SPIE--The International Society for Optical Engineering. Downloading of the abstract is permitted for personal use only.

2 citations


Book ChapterDOI
01 Jan 1980
TL;DR: In this paper, it was shown that two pseudographs with the same degree sequence are adjacent if one can be obtained from the other by an elementary operation called switching, which is known as switching switching.
Abstract: This paper investigates pseudographs with degree sequences which have infinitely many terms greater than 1. Two nonisomorphic pseudographs with the same degree sequence are adjacent if one can be obtained from the other by an elementary operation called switching. With this notion of adjacency we can regard distinct pseudographs with the same degree sequence as the vertices of a graph, called the graph of pseudographic realizations of that sequence. Some results concerning the nature of the components of such graphs of realizations have already been obtained. We add to these results here and, in particular, determine all cases in which the graph has a component which is a path, and all cases in which it has an endvertex.

Dissertation
01 Jan 1980

01 Jan 1980
TL;DR: The theory of spatio-temporal aggregation is introduced as an explanation of what it is possible to compute at an early stage in the visual analysis of objects and is reconciled with existing computational theories of vision so as to complement them, and to provide a useful link in the continual abstraction of visual information.
Abstract: A theory of spatio-temporal aggregation is introduced as an explanation of what it is possible to compute at an early stage in the visual analysis of objects. Spatio-temporal aggregation is defined as the process of grouping together elements in an image sequence whose motions and positions have consistent interpretations as the retinal projections of a coherent or isolated cluster of 'particles' in the physical world. The information abstracted by spatio-temporal aggregation represents early decisions about which distinct elements belong to the same physical entities or object fragments and estimations of the motions of those fragments relative to the observer. The assumptions of confluence and adjacency are made in order to constrain the infinity of possible interpretations to a computationally more manageable domain of plausible interpretations. It is shown that confluence and adjacency lead to the derivation of specific rules for grouping which permit the appropriate aggregation of rigid and quasi-rigid objects in motion and at rest under a variety of conditions. The theory is reconciled with existing computational theories of vision so as to complement them, and to provide a useful link in the continual abstraction of visual information.