TABLE 1:

Summary of Graph Theory Results

Global Graph Theory Metrics
Global Clustering Coefficient
		TLE-Minimal Cognitive	TLE-Moderate Cognitive	TLE-Severe Cognitive
	Controls	Deficits	Deficits	Deficits
Mean	0.592	0.589	0.578	0.572	p=0.0134
Decreased global clustering coefficient is associated with worsening cognitive deficits in TLE. This finding suggests that the normal clustering of neural activity within tightly connected networks is decreased in TLE and related to cognitive deficits.
Rich Club Proportion
		TLE-Minimal Cognitive	TLE-Moderate Cognitive	TLE-Severe Cognitive
	Controls	Deficits	Deficits	Deficits
Mean	0.687	0.690	0.712	0.734	p=0.0500
Similar to Global Clustering Coefficient, the Rich Club Proportion reflects how brain regions organize into subnetworks; specifically in this case the metric is the proportion of overall regions contained in the rich club core. Essentially this finding of increased Rich Club Proportion in TLE means that the traditional “Rich Club” of highly connected regions, which serve as efficient hubs for interaction of brain networks, is diminished. The “Rich Club” core in TLE has more regions, which are overall less connected making for less overall efficient organization.

Nodal Graph Theory Metrics
Degree
Left Temporal Connectivity Ratio (mesial temporal divided by lateral temporal)
	Left Lateralized TLE	Right Lateralized TLE
Mean	0.559	0.479	p=0.0321
Right Temporal Connectivity Ratio
	Left Lateralized TLE	Right Lateralized TLE
Mean	0.341	0.765	p=0.0720
Degree is the simplest measure of how many connections a region has. The above results show that the mesio-temporal structures are highly connected with other regions, while the lateral temporal lobes are less connected. These findings also correlate with seizure frequency and laterality of the epilepsy.
Closeness Centrality
Left Temporal Connectivity Ratio
	Left Lateralized TLE	Right Lateralized TLE
Mean	0.515	0.46	p=0.0465
Right Temporal Connectivity Ratio
	Left Lateralized TLE	Right Lateralized TLE
Mean	0.316	0.806	p=0.0630
Closeness Centrality measures how many steps it would take to be connected with any other brain region, so it is marker of how connected a node is to the rest of the brain. This finding is similar to Degree it that shows that the mesial-temporal structures are hyperconnected to the rest of brain and the opposite occurs in lateral temporal lobes. Again, this finding correlates with seizure frequency and laterality.