Table 2.

Notations used for the graphs and graph measures.

Object	Description
$G=(N,E)$	A graph with nodes N and edges $E\subset N\times N$.
$d_v$	Degree (number of edges) of a node $v\in N$
$G_s$	Mapper shape graph for subject s
node labels; MS $=\{$FA1, OM1, RS1, FA2, OM2, RS2$\}$	Mediation states = conditions $\times$ sessions (pre and postretreat) $=\{$ FA, OM, RS $\}$  $\times$  $\{1,2\}$
$v\in N$ an l node	if v contains state l fMRI volumes
${\mu }_l={\mu }_l(G_s)$	Probability distribution of state l nodes in $G_s$, where $l\in L$.
$d_{\mathit{OT}}({\mu }_l,{\mu }_k)$	Optimal transport distance between state l and k node distributions in $G_s$.
$cc({\mu }_l)$	Weighted arithmetic mean of closeness centrality of l nodes in $G_s$.
$dc({\mu }_l)$	Weighted arithmetic mean of degree centrality of l nodes in $G_s$.
diam(l)	Diameter of the set of l nodes in $G_s$.