Week 1 Flashcards

1
Q

What is the definition of a neighborhood? What does it mean?

A

A neighborhood are all the nodes connected to other nodes.

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2
Q

What is the definition of a simple graph?

A
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3
Q

What is the definition of the degree of a vertex?

A
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4
Q

How do we compute the total sum of degrees?

A
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5
Q

What is the definition of the degree sequence?

A
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6
Q

When is a sequence of numbers graphic?

A
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7
Q

What is an adjencency list? How much memory does it use?

A
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8
Q

What is an Ajdencency matrix? How much memory does it use?

A
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9
Q

What are the important three properties of the adjecency matrix?

A
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10
Q

What is the definition of a subgraph?

A
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11
Q

What is the definition of a subgraph denoted by V*?

A
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12
Q

What is the definition of a the subgraph induced by E*?

A
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13
Q

When is a graph isomorphic?

A
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14
Q

How to determine that two graphs are not isomorphic?

A
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15
Q

What is the The Havel-Hakimi’s theorem? What does it mean?

A
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16
Q

How to use The Havel-Hakimi’s theorem?

A
17
Q

What is the definition of a walk?

A
18
Q

What is the definition of a path?

A
19
Q

What is the definition of a cycle?

A
20
Q

What is the definition a connected graph? What are the three equivalence relations?

A
21
Q

What is the definition of a component of a graph?

A
22
Q

What is the definition of a vertex cut?

A
23
Q

What is the definition of an edge cut?

A
24
Q

What is the 𝛋(G) and λ(G)?

A
25
Q

What is a theorem about the minimum edge cuts and

A