2. Decide if the statement is True or False. Justify your answer. Explain why is it true or why not, and give an example/counterexample where necessary. a) Does the poset (P(Z), ≤) have minimal element(s)? There is a vertex in a bipartite graph G-(VE) with deg(v)-m+n, where c) The sum of all vertex degrees in an undirected graph is always even number. d) Kn has a Hamiltonian circuit for every natural number n ≥ 3.

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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2. Decide if the statement is True or False. Justify your answer. Explain why is it true or
why not, and give an example/counterexample where necessary.
a) Does the poset (P(Z), ≤) have minimal element(s)?
There is a vertex in a bipartite graph G-(VE) with deg(v)-m+n, where
c) The sum of all vertex degrees in an undirected graph is always even number.
d) Kn has a Hamiltonian circuit for every natural number n ≥ 3.
Transcribed Image Text:2. Decide if the statement is True or False. Justify your answer. Explain why is it true or why not, and give an example/counterexample where necessary. a) Does the poset (P(Z), ≤) have minimal element(s)? There is a vertex in a bipartite graph G-(VE) with deg(v)-m+n, where c) The sum of all vertex degrees in an undirected graph is always even number. d) Kn has a Hamiltonian circuit for every natural number n ≥ 3.
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