Fundamental both to Q-analysis and to social network analysis is the assumption that relational structure influences the behavior of the underlying population. This assumption is expressed in Q-analysis by saying that the backcloth structure permits or forbids traffic on the backcloth. Backcloth structure and traffic are represented rather differently in the two disciplines. In this paper, the two representations are contrasted, with the goal of obtaining a useful cross-fertilization.
Get full access to this article
View all access options for this article.
References
1.
AlbaR D, 1973, “A graph-theoretic definition of a sociometric clique”Journal of Mathematical Sociology3113–126
2.
AtkinR H, 1972, “From cohomology in physics to Q-connectivity in social science”International Journal of Man-Machine Studies4139–167
3.
AtkinR H, 1974, “An algebra for patterns on a complex, I”International Journal of Man-Machine Studies6285–307
4.
AtkinR H, 1976, “An algebra for patterns on a complex, II”International Journal of Man-Machine Studies8483–498
5.
BarnesJ A, 1968, “Networks and political process” in Local-level Politics Ed. SwartzM J, (Aldine, Chicago, IL) pp 107–130
6.
BergeC, 1976Graphs and Hypergraphs (North-Holland, Amsterdam)
7.
BreigerR L, 1974, “The duality of persons and groups”Social Forces53181–190
8.
BreigerR L, 1981, “Comment”Journal of the American Statistical Association7651–53
9.
BurtR, 1976, “Positions in networks”Social Forces5593–122
10.
BurtR, 1980, “Models of network structure”Annual Review of Sociology679–141
11.
DoreianP, 1981, “Polyhedral dynamics and conflict mobilization in social networks”Social Networks3107–116
12.
DoreianP, 1982, “Leveling coalitions as network phenomena”Social Networks427–45
13.
DowkerC H, 1952, “Homology groups of relations”Annals of Mathematics5684–95
14.
EarlC F, 1981, “Simplicial complexes are not determined by their structure vectors”Environment and Planning B8349–350
15.
EarlC FJohnsonJ H, 1981, “Graph theory and Q-analysis”Environment and Planning B8367–391
16.
EverettM G, 1982, “A graph theoretic blocking procedure for social networks”Social Networks4141–167
17.
FarmerF D, 1975, “The homology of reflexive relations”Mathematica Japonicae2021–28
18.
FlemmingU, 1981, “Structure in bungalow plans”Environment and Planning B8393–404
19.
FosterB L, 1979, “Formal network studies and the anthropological perspective”Social Networks1241–255
20.
FosterB L, 1980, “Minority traders in Thai village social networks”Ethnic Groups2221–240
21.
FosterB LSeidmanS B, 1981, “Network structure and the kinship perspective”American Ethnologist8329–355
22.
FosterB LSeidmanS B, 1983, “A strategy for the dissection and analysis of social structures”Journal of Social and Biological Structures649–64
23.
FosterB LSeidmanS B, undated, “Urban structures derived from collections of overlapping subsets” manuscript available from the author
24.
FreemanL C, 1979, “Centrality in social networks”Social Networks1215–240
25.
FreemanL C, 1980, “Q-analysis and the structure of friendship networks”International Journal of Man-Machine Studies12367–378
26.
FreemanL CRoederDMulhollandR R, 1979, “Centrality in social networks: II, experimental results”Social Networks2119–141
27.
GansD, 1969Transformations and Geometries (Appleton-Century-Crofts, New York)
28.
GasparJGouldP, 1981, “The Cova da Beira: An applied structural analysis of agriculture and communication” in Lund Studies in Geography, Series B Number 48: Space and Time in Geography Ed. PredA, (Gleerup, Lund) pp 183–214
29.
GouldP, 1980, “Q-analysis or a language of structure: An introduction for social scientists, geographers and planners”International Journal of Man-Machine Studies13169–200
30.
GouldP, 1981, “Letting the data speak for themselves”Annals of the Association of American Geographers71166–176
31.
GriffithsH BEvansP J, 1981, “Atkin's Q-analysis: A critique and reformulation” report to the SSRC; available as a mimeograph from Faculty of Mathematical Studies, University of Southampton, Southampton S09 5NH
32.
HararyF, 1969Graph Theory (Addison-Wesley, Reading, MA)
33.
HollandP WLeinhardtS, (Eds), 1979Perspectives on Social Network Research (Academic Press, New York)
34.
HollandP WLeinhardtS, 1981, “An exponential family of probability distributions for directed graphs”Journal of the American Statistical Association7633–50
35.
HunterJ E, 1978, “Dynamic sociometry”Journal of Mathematical Sociology687–138
36.
JohnsonJ H, 1976, “The Q-analysis of road intersections”International Journal of Man-Machine Studies8531–548
37.
JohnsonJ H, 1981a, “Some structures and notation of Q-analysis”Environment and Planning B873–86
38.
JohnsonJ H, 1981b, “The shomotopy bottle of Q-analysis”International Journal of Man-Machine Studies15457–460
KillworthP DBernardH R, 1976, “A model of human group dynamics”Social Science Research5173–224
41.
LeinhardtS, (Ed.), 1977Social Networks, A Developing Paradigm (Academic Press, New York)
42.
LuceR D, 1950, “Connectivity and generalized cliques in sociometric group structure”Psychometrika15169–190
43.
LuceR DPerryA, 1949, “A method of matrix analysis of group structure”Psychometrika1494–116
44.
McPhersonJ M, 1982, “Hypernetwork sampling: Duality and differentiation among voluntary associations”Social Networks3225–249
45.
MokkenR, 1979, “Cliques, clubs and clans”Quality and Quantity13161–173
46.
ReitzK P, 1982, “Using log linear analysis with network data: Another look at Sampson's monastery”Social Networks4243–256
47.
SampsonS F, 1969Crisis in a Cloister (University Microfilms International, Ann Arbor, MI)
48.
SeidmanS B, 1980, “Clique-like structures in directed networks”Journal of Social and Biological Structures343–54
49.
SeidmanS B, 1981, “Structures induced by collections of subsets: A hypergraph approach”Mathematical Social Sciences1381–396
50.
SeidmanS B, undated, “Structural consequences of individual position in nondyadic social networks” manuscript available from the author
51.
SeidmanS BFosterB L, 1978a, “A graph-theoretic generalization of the clique concept”Journal of Mathematical Socio logy6139–154
52.
SeidmanS BFosterB L, 1978b, “A note on the potential for genuine cross-fertilization between anthropology and mathematics”Social Networks165–72
53.
SeidmanS BFosterB L, 1978c, “The use of attribute data in network modeling” paper presented to conference on New Directions in Structural Analysis, held at the University of Toronto; copy available from the author
54.
SeidmanS BFosterB L, undated, “A hypergraph approach to urban social structure” manuscript available from the author
55.
SpanierE M, 1966Algebraic Topology (McGraw-Hill, New York)
56.
SpoonerRBattyM, 1981, “Networks of urban systems analysts”Environment and Planning B8449–475
57.
WassermanS S, 1980, “Analyzing social networks as stochastic processes”Journal of the American Statistical Association75280–294
58.
WilsonT P, 1982, “Relational networks: An extension of sociometric concepts”Social Networks4105–116
