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Notation from Graph Theory — Notation Guide applies unless stated otherwise
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- time -
- average (first moment) of . -
- -th moment of
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- degree -
- number of nodes in the network at time -
- number of links -
- probability in the degree distribution of node . May also be used to refer to the degree distribution itself -
- degree probability -
- nearest neighbor degree the average degree of the neighbors of node -
- low saturation cutoff -
- high degree cutoff -
- natural cutoff -
- structural cutoff
- clustering coefficient of vertex . - link similarity of vertices - cluster size
- dynamical exponent - degree exponent of a power law - probability of node being chosen via preferential attachment . - double preferential attachment. - cumulative preferential attachment function - the fitness of node - fitness distribution - initial attractiveness of a node
- degree correlation between and - degree correlation coefficient
- breakdown threshold at the -th node - breakdown threshold - order parameter - correlation distance (percolation process) - (
, , ) - critical exponents of a percolation process. Respectively, they are critical exponents for the average cluster size, order parameter , and correlation length
- community - modularity of community . - modularity of the network - internal degree of in community - external degree of in community - Global Clustering Coefficient
- the fraction of infected for degree block of degree . - characteristic time - epidemic threshold - (epidemiology) the density function - immunization rate