Discrete Mathematics & Mathematical Reasoning Chapter 10: Graphs
Graphs - CH10 - Discrete Mathematics
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Transcript of Graphs - CH10 - Discrete Mathematics
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CHAPTER(10)
GRAPHS
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10.1 GRAPHS AND GRAPH MODELS
DEFINITION 1
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DEFINITION 2
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10.2 GRAPH TERMINOLOGY AND SPECIAL :TYPES OF GRAPHS
DEFINITION 1
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DEFINITION 2
DEFINITION 3
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EXAMPLE
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THE ISOLATED VERTEX:
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THEOREM 1
EXAMPLE
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THEOREM 2
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DEFINITION 4
DEFINITION 5
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EXAMPLE
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THEOREM 3
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EXAMPLE
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EXAMPLE
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EXAMPLE
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DEFINITION 6
EXAMPLE
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EXAMPLE
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EXAMPLE
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THEOREM 4
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EXAMPLE
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DEFINITION 7
DEFINITION 8
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EXAMPLE
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DEFINITION 9
EXAMPLE
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10.3 REPRESENTING GRAPHS AND GRAPH ISOMORPHISM
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EXAMPLE
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EXAMPLE
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EXAMPLE
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EXAMPLE
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EXAMPLE
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ISOMORPHISM OF GRAPHS
DEFINITION 1
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EXAMPLE
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10.4 CONNECTIVITY
DEFINITION 1:
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EXAMPLE
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DEFINITION
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EXAMPLE
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THEOREM 1
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EXAMPLE
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EXAMPLE
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EXAMPLE
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EXAMPLE
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CONNECTEDNESS IN DIRECTED GRAPHS
DEFINITION 4
DEFINITION 5
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EXAMPLE
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10.5 EULER AND HAMILTON PATHS
DEFINITION 1
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EXAMPLE
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EXAMPLE
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DEFINITION
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EXAMPLE