By S. D. Berkowitz
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Extra resources for An Introduction to Structural Analysis. The Network Approach to Social Research
2 7 Peter Harries-Jones reported on research in which putative ties—that is, ones which are commonly believed to exist—as well as clearly demonstrable kin connections, were used to form and maintain a political organization. 28 And David Boswell examined cases in which kinship and tribal co-membership were differentially "accessed" by people to mobilize help in personal crises. 29 Each of these studies, while more descriptive than analytic in intent, explicitly used graph theory to characterize and interpret the form or 32 AN I N T R O D U C T I O N TOSTRUCTURALANALYSIS pattern of observed relationships.
38 AN I N T R O D U C T I O N TO S T R U C T U RAL A N A L Y S I S While the particular way this "precedence" can be built into an analysis would depend on the substance of the phenomenon we were trying to interpret—and we do not have enough information here to construct a precise model for our merchant-network example—the general approach structural analysts have followed is clear. In matrix multiplication the order in which terms appear is important. Definition 3: Matrix Multiplication Given A = [a #]»,,„ a n d ß = [fr/j],i}/„ then the product, AB, is the matrix C = [cam,,, where the entry ci3- of C is the result of the multiplication of the ith row vector of A by the/'th column vector of ß andc« = aiiblj + 0rib23+ · · · +ainbnj.
Since kinship systems tend to be more closely knit than networks of friends, there is a tendency for men in these nuclear families to be drawn into their wives' kinship systems and for these kinship systems to play a commensurately greater role in the orientation of these families than the males' social contacts. In intermediate cases or in "joint" marriages, neighbors tended to form a larger proportion of the social contacts of both husbands and wives, and wives' kin had comparatively less impact on the nuclear-family relationship.