For each True/False question, enter only T or F because it will be auto-graded and expects one of these answers only. (a) It is not possible to make a graph with degree sequence 3,3,1,1,1,1. (b) A proof by mathematical induction must begin with proving the equation or inequality true for n=1. (c) A Eulerian circuit must use every edge of the graph.

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#10 True or false? 

For each True/False question, enter only T or F because it will be auto-graded and expects one of these answers only.
(a) It is not possible to make a graph with degree sequence 3,3,1,1,1,1.
(b) A proof by mathematical induction must begin with proving the equation or inequality true for n=1.
(c) A Eulerian circuit must use every edge of the graph.
(d) A Hamiltonian cycle cannot contain a cycle, except for itself.
(e) A bipartite graph cannot contain any cycle.
Transcribed Image Text:For each True/False question, enter only T or F because it will be auto-graded and expects one of these answers only. (a) It is not possible to make a graph with degree sequence 3,3,1,1,1,1. (b) A proof by mathematical induction must begin with proving the equation or inequality true for n=1. (c) A Eulerian circuit must use every edge of the graph. (d) A Hamiltonian cycle cannot contain a cycle, except for itself. (e) A bipartite graph cannot contain any cycle.
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