added the assignment link

_data/lectures.yaml

@@ -335,6 +335,8 @@ lectures:
     assignments:
       - title: Quiz 10
         url: https://forms.gle/XQqhc2ztMZ4SZBtx5
+      - title: Assignment 11
+        url: https://github.com/cphg/network_analysis
       - title: Assignment 10 due
   - lecture_number: 23
     date: 2024-04-29

slides/networks.html

@@ -425,6 +425,6 @@
 [6]  4.000000e+00  4.000000e+00  5.645751e+00
 ```
 
-Note: First eigenvalue of Laplacian matrix is always zero. Second eigenvector of Laplacian matrix characterizes a network partition. So all positive values in this case are one cluster, and the negative values are the second cluster
+Note: number of times 0 appears as an eigenvalue in the Laplacian is the number of connected components in the graph. Second eigenvalue called the algebraic connectivity, is greater than 0 if and only if G is a connected graph, and reflects how well connected the overall graph is. Second eigenvector of Laplacian matrix characterizes a network partition. So all positive values in this case are one cluster, and the negative values are the second cluster
 
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