65 lines
853 B
Plaintext
65 lines
853 B
Plaintext
1. Undirected, unlooped, multi-edged: multigraph
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b) directed, looped, multi-edged: directed pseudo-multigraph
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2. ac bd
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b) cd cd dd ee ab bc
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3. {{paper}}
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4. vertices: 6
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edges: 6
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degree: a: 2 b: 4 c: 1 f: 3 e: 2 d: 0
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isolated: d
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pendant: c
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b) vertices: 5
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edges: 14
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degree: a: 6 b: 6 c: 6 d: 5 e: 3
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isolated: -
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pendant: -
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5. vertices: 4
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in-a : 2
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out-a: 2
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in-b: 3
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out-b: 4
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in-c: 2
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out-c: 1
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in-d: 1
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out-d: 1
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6. {ac} {bde}
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b) Not bipartite: 3-loop bcf would require 3 sets
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7. {{ paper }}
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8. a -> abcd
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b -> d
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c -> ab
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d -> bcd
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9. | a b c d
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--+--------
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a | 1 1 1 1
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b | 0 0 0 1
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c | 1 1 0 0
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d | 0 1 1 1
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10. {{ paper }}
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11. v1 -> u1
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v2 -> u4
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v3 -> u2
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v4 -> u5
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v5 -> u3
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12. v1 -> u4
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v2 -> u3
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v3 -> u1
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v4 -> u2
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13. PSCL
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a) YNN4
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b) N---
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c) N---
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d) YYY5
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