PDF《[email protected]》

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1 í ([email protected])March 27,

2013 8 /

56 ( ? ) G = (V, E), |V | = n, |E| = m;

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1 (adjacency) ?: C ∈ {0, 1}n*n, C(i, j) = 1, (i, j) ∈ E, 0, (i, j) ∈ E, C = ? ? ? ? ? ?

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0 ? ? ? ? ? ? í ([email protected])March 27,

2013 8 /

56 ( ? ) G = (V, E), |V | = n, |E| = m;

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1 ? (incidence) ?: B ∈ {0, 1}n*m, B(i, k) = 1, ?j ∈ V, k = (i, j) ∈ E, 0, ?j ∈ V, k = (i, j) ∈ E, B = ? ? ? ? ? ?

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0 1 ? ? ? ? ? ? í ([email protected])March 27,

2013 8 /

56 ( ? ) G = (V, E), |V | = n, |E| = m;

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1 ??(arc list)? ?: A = ? ?

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1 5 ? ? í ([email protected])March 27,

2013 8 /

56 ?: ( ? ) ? G G? ? ;

í ([email protected])March 27,

2013 9 /

56 ?: ( ? ) ? G G? ? ;

? G G? ? í ([email protected])March 27,

2013 9 /

56 ?: ( ? ) ? G G? ? ;

? G G? ? ù?1 (è??ù?) 1. G? ? , ?G? ? ? ?G ? ? ? ;

í ([email protected])March 27,

2013 9 /

56 ?: ( ? ) ? G G? ? ;

? G G? ? ù?1 (è??ù?) 1. G? ? , ?G? ? ? ?G ? ? ? ;

2. G? ? , ?G? ? ? ?G? ? í ([email protected])March 27,

2013 9 /

56 ?: ( ? ) ? G G? ? ;

? G G? ? ù?1 (è??ù?) 1. G? ? , ?G? ? ? ?G ? ? ? ;

2. G? ? , ?G? ? ? ?G? ? ?2 (è?? ?(Fleury) G = (V, E)) í ([email protected])March 27,

2013 9 /

56 ?: ( ? ) ? G G? ? ;

? G G? ? ù?1 (è??ù?) 1. G? ? , ?G? ? ? ?G ? ? ? ;

2. G? ? , ?G? ? ? ?G? ? ?2 (è?? ?(Fleury) G = (V, E)) 1. ? V0, E0, ??è ;

í ([email protected])March 27,

2013 9 /

56 ?: ( ? ) ? G G? ? ;

? G G? ? ù?1 (è??ù?) 1. G? ? , ?G? ? ? ?G ? ? ? ;

2. G? ? , ?G? ? ? ?G? ? ?2 (è?? ?(Fleury) G = (V, E)) 1. ? V0, E0, ??è ;

2.x, V0 = V0 {x};

í ([email protected])March 27,

2013 9 /

56 ?: ( ? ) ? G G? ? ;

? G G? ? ù?1 (è??ù?) 1. G? ? , ?G? ? ? ?G ? ? ? ;

2. G? ? , ?G? ? ? ?G? ? ?2 (è?? ?(Fleury) G = (V, E)) 1. ? V0, E0, ??è ;

2.x, V0 = V0 {x};

3. ? E0? , ? 4;

í ([email protected])March 27,

2013 9 /

56 ?: ( ? ) ? G G? ? ;

? G G? ? ù?1 (è??ù?) 1. G? ? , ?G? ? ? ?G ? ? ? ;

2. G? ? , ?G? ? ? ?G? ? ?2 (è?? ?(Fleury) G = (V, E)) 1. ? V0, E0, ??è ;

2.x, V0 = V0 {x};

3. ? E0? , ? 4;

4. ü?x? ?E0 (x, y), í ([email protected])March 27,

2013 9 /

56 ?: ( ? ) ? G G? ? ;

? G G? ? ù?1 (è??ù?) 1. G? ? , ?G? ? ? ?G ? ? ? ;

2. G? ? , ?G? ? ? ?G? ? ?2 (è?? ?(Fleury) G = (V, E)) 1. ? V0, E0, ??è ;

2.x, V0 = V0 {x};

3. ? E0? , ? 4;

4. ü?x? ?E0 (x, y) í ([email protected])March 27,

2013 9 /

56 ?: ( ? ) ? G G? ? ;

? G G? ? ù?1 (è??ù?) 1. G? ? , ?G? ? ? ?G ? ? ? ;

2. G? ? , ?G? ? ? ?G? ? ?2 (è?? ?(Fleury) G = (V, E)) 1. ? V0, E0, ??è ;

2.x, V0 = V0 {x};

3. ? E0? , ? 4;

4. ü?x? ?E0 (x, y) 5. E0 = E0 {(x, y)}, V0 = V0 {y}, ?x = y;

3. í ([email protected])March 27,

2013 9 /

56 ?: K¨ onigsberg ? í ([email protected])March 27,

2013 10 /

56 ?: K¨ onigsberg ? C A B D ?: K¨ onigsberg ? C A B D ?: K¨ onigsberg ? C A B D ?: K¨ onigsberg ? C A B D ?: K¨ onigsberg ? C A B D ?: K¨ onigsberg ? C A B D ?: K¨ onigsberg ? C A B D ?: K¨ onigsberg ? C A B D í ([email protected])March 27,

2013 10 /

56 ?: K¨ onigsberg ? C A B D à?à ?: í ([email protected])March 27,