Graph Theory Flashcards

1
Q

Circuit

A

ends at beginning, no repeated edges

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2
Q

Cycle

A

ends at beginning, no repeated vertices

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3
Q

Complement of a graph G

A

A graph with the same vertices as g, but has an edge between any 2 vertices that G doesn’t

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4
Q

Bipartite graph

A

vertices can be divided into 2 sets, such that no vertices in the same set are connected

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5
Q

Complete graph

A

All vertices are connected

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6
Q

Connected graph

A

Each pair of vertices is joined by a path

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7
Q

Simple

A

no loops, no double edges

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8
Q

Walk

A

any sequence of edges

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9
Q

Trail

A

no repeated edges

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10
Q

Path

A

No repeated vertices

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11
Q

Eulerian

A

every edge exactly once

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12
Q

Hamiltonian

A

every vertex exactly once

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13
Q

Planar graph

A

no edges cross in drawing

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14
Q

Tree

A

graph that contains no cycles

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15
Q

Graph isomorphism

A

2 graphs are exactly the same

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