PHYS 597A, CMPSC 497E: Graphs and networks in sys-tems biology Summary: PHYS 597A, CMPSC 497E: Graphs and networks in sys- tems biology Homework assignment 7, due Tuesday Oct. 27 1. Based on what we have learned in class so far, answer the following questions in your own words. You can support your answer with formulas but formulas alone will not count as an answer. (a) Why doesn't the average clustering coefficient of a regular lattice depend on the size of the lattice? (b) Why doesn't the average clustering coefficient of a small world net- work (generated with the Watts-Strogatz model) depend on the size of the network? (c) Comparing two large networks of equal number of nodes and edges, one generated by the Watts-Strogatz model and one generated by the Barab´asi- Albert model, which one has a larger average distance? (d) Comparing two large networks of equal number of nodes and edges, one generated by the Watts-Strogatz model and one generated by the Barab´asi- Albert model, which one has a larger degree range? 2. Construct a graph with eight nodes and twelve edges (you can do it randomly or select an example that seems interesting). (a) Propose a node measure (or combination of measures) that can serve Collections: Biology and Medicine