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| Category | Conception or term | Symbol | Description |
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| Social network related terms | Social network graph model | | Formal description of social network (Definition 1) |
| Trust chain | | Trustworthy relationship among users (Definition 4) |
| Topic space oriented user group | | User group organized according to a topic space (Definition 5) |
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| Topic related terms | Topic space | | A set of topics which have large impacts and close relations (Definition 2) |
| User interest | | The quantified value of user’s interest level about a specific topic or a topic space (Definition 3) |
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| Topic space related calculation | Relatedness clustering for topic space | | The closeness degree of topics |
| Relatedness degree matrix | | A matrix of relatedness degree for candidate topics in topic space clustering |
| Topic influence rank (TIR) degree of link relation | | Influence degree of a topic based on its link relation |
| TIR degree of hierarchy relation | | Influence degree of a topic based on its hierarchy relation |
| Influence degree value of a topic | | Influence degree of a topic based on TIR |
| Popularity of topic | | Popularity level of a topic |
| Impact of the topic space | | Impact degree of the topic space |
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| Trust chain related calculation | Atomic trust chain | | Trust degree of atomic trust chain |
| Serial trust chain | | Trust degree of serial trust chain |
| Parallel trust chain | | Trust degree of parallel trust chain |
| Combined trust chain | | Trust degree of combined trust chain |
| User influence | | The influence degree of a user on his/her trust chain |
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| User interest related calculation | Explicit interest | | The degree of explicit interests which can be measured through users’ direct behaviors or other direct witness evidences |
| Implicit interest | | The degree of implicit interests which reflects the users’ potential opinion toward topic |
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