Discrete math (7th edition)
1. graph
1.1. graph model
Def:

Def: simple

Def: multi

Def: psedo

Def: directed


Note: overall

1.2. attributes
Def: connected


Def: neighbor

Def: degree


Theorem: degree & edges

Theorem: (undirected graph) odd degrees

Theorem: degree & edges

1.3. 同构
Def;

1.4. connection
1.4.1. path
Def: path

Theorem:

Def: 回路

1.4.2. undirected
Def:

Theorem:

Def:

Def:

Def:

Theorem:

1.4.3. directed
Def:

Def:

1.5. euler path
Def: Euler

Theorem:

Theorem:

Def: Hamilton

Theorem:

2. tree
2.1. tree model
Def: tree

Qua: necc & suff

- 2(n-1) degree & all degrees >=1 <=3
(n-1) in degrees & all degress <= 1