***** To join INSNA, visit http://www.insna.org ***** Hello SOCNETTERS, My name is Juno Blaauw and I am a political research student at the University of Amsterdam. I am writing this e-mail on behalf of Meindert Fennema, Jean Tillie and myself. Meindert Fennema and Jean Tillie are studying ethnic civic communities. Lately they have been interested (among other things) in introducing a normative definition of a civic community and in measuring the difference between a given empirical civic community and this normative definition. I have been working with them on this (thesis). We have been able to formulate a, in our eyes, satisfactory definition of a normative civic community, which we have called an 'old boys civic community', and a measure for the above mentioned difference. The only problem is that our normative definition does not lead to one unique social network. In other words: on a given number of nodes many social networks qualify as old boys civic communities. Before getting to the specific question we would like to ask you all, I willfirst give you our definitions. First of all our definition of a civic community: "a civic community [...] consists of many voluntary associations that are related to each other by way of overlapping membership and interlocking directorates' (Fennema, 2004, p. 433.)" The voluntary associations are formal organisations and the interlocking directorates are people that are board members of two of these organisations. Thus, a civic community can be defined as the set of formal organisations and the ties, in the form of interlocking directorates, between them. A civic community that is defined like this can be depicted as a graph were the nodes representorganisations and the lines interlocking directorates. Secondly, our definition of an old boys civic community: A civic community is an old boys civic community if and only if (a) any two organisations are either directly linked by an interlocking directorate or have a maximum of two interlocking directorates between them and (b) each of the civiccommunity's organisations is adjacent to the same number of otherorganisations. Now, the question we would like to ask all of you is this: how can we find out how many and which old boys civic communities there are on a givennumber of nodes? Note that we are only interested in minimal old boys civic communities, that is in old boys civic communities with a minimal number of interlocking directorates (ties). To illustrate our problem: Here are two minimal old boys civic communities on six nodes. Are these the only two? If so, how can we proof that? If not, how can we find the other ones? n 1 2 3 4 5 6 1 1 1 1 2 1 1 1 3 1 1 1 4 1 1 1 5 1 1 1 6 1 1 1 and n 1 2 3 4 5 6 1 1 1 1 2 1 1 1 3 1 1 1 4 1 1 1 5 1 1 1 6 1 1 1 We have no idea whether or not this is actually an easy problem that has already been solved by somebody else. We are just hoping that you can inform us of anything you seem fit, given what we have told you so far. Please let me know if you need any additional information. Thank you in advance! Juno Blaauw. _____________________________________________________________________ SOCNET is a service of INSNA, the professional association for social network researchers (http://www.insna.org). To unsubscribe, send an email message to [log in to unmask] containing the line UNSUBSCRIBE SOCNET in the body of the message.