**SIGGS Structural Properties**- These properties describe patterns of component relations or configurations. Most of
these properties were drawn from di-graph theory, and some from set theory and general systems theory.
- 38. Educational system complete connectivity, CC
- 38.1. "Educational system complete connectivity is every two components directly channeled to each other with respect to affect relations." (p. 54)
- 39. Educational system strongness, SR
- 39.1. "Educational system strongness is not complete connectivity and every two components are channeled to each other with respect to affect relations." (p. 54)
- 40. Educational system unilateralness, U
- 40.1. "Educational system unilateralness is not either complete connectivity or strongness and every two components have a channel between them with respect to affect relations." (p. 55)
- 41. Educational system weakness, WE
- 41.1. "Educational system weakness is not either complete connectivity or strongness or unilateralness and every two components are connected with respect to affect relations." (p. 55)
- 42. Educational system disconnectivity, DC
- 42.1. "Educational system disconnectivity is not either complete connectivity or strongness or unilateralness or weakness, and some components are not connected with respect to affect relations." (p.55)
- 43. Educational system vulnerability, VN
- 43.1. "Educational system vulnerability is some connections when removed produce disconnectivity with respect to affect relations." (p. 56)
- 44. Educational system passive dependence, DP
- 44.1. "Educational system passive dependence is components which have channels to them." (p. 56)
- 45. Educational system active dependence, DA
- 45.1. "Educational system active dependence is components which have channels from them." (p. 57)
- 46. Educational system independence, I
- 46.1. "Educational system independence is components which do not have channels to them." ( p. 57)
- 47. Educational system segregation, SG
- 47.1. "Educational system segregation is (maintenance of) independence under system environmental change." (p. 57)
- 48. Educational system interdependence, ID
- 48.1. "Educational system interdependence is components which have channels to and from them." (p. 57)
- 49. Educational system wholeness, W
- 49.1. "Educational system wholeness is components which have channels to all other components." (p. 58)
- 50. Educational system integration, IG
- 50.1. "Educational system integration is (maintenance of) wholeness under system environmental change." (p. 58)
- 51. Educational system hierarchical order, HO
- 51.1. "Educational system hierarchical order is levels of subordinateness with components in each level with respect to affect relations." (p. 58)
- 52. Educational system flexibility, F
- 52.1. "Educational system flexibility is different subgroups of components through which there is a channel between two components with respect to affect relations." (p. 59)
- 53. Educational system homomorphism, HM
- 53.1. "Educational system homomorphism is components having the same connections as other components." (p. 60)
- 54. Educational system isomorphism, IM
- 54.1. "Educational system isomorphism is components having the same connections as other corresponding components." (p. 60)
- 55. Educational system automorphism, AM
- 55.1. "Educational system automorphism is components whose connections can be transformed so that the same connections hold." (p. 61)
- 56. Educational system compactness, CO
- 56.1. "Educational system compactness is average number of direct channels in a channel between components." (p. 62)
- 57. Educational system centrality, CE
- 57.1. "Educational system centrality is concentration of channels." (p. 62)
- 58. Educational system size, SZ
- 58.1. "Educational system size is number of components." (p. 62)
- 59. Educational system complexity, CX
- 59.1. "Educational system complexity is the number of connections." (p. 62)

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