Feuille 2 - LAMFA - Université de Picardie Jules Verne

G M(G) = (mij )mij
viej
M(G)
A=
01101
10111
11010
01100
11000
A

A D A
ABCAE
ABCBD
G
G= (V, E)n v G
N(v)G(u, v, w)u
w G
G N(5)

G v G N(v)
(deg(v)
2)=deg(v)×(deg(v)−1)
2
G(3,3,4,4,4,5,5,6)
∑v∈VN(v)>28 ∑v∈VN(v)
S(u, v)u
v S(u, v)
u v G
(u, w, v) (u, w′, v)
G
G p = 2n
G q = (p2−2p)/4G q
G H G H
G n n ≥2
v G deg(v)≥(n−1)/2G
n n = 2k G n
v G deg(v)≥(n−2)/2
G G
G
K1
G c(G)
c(K4)K4
c(G)G
c(G)
G n k
v G c(G)v
c(G)≤2k/n k

G
G G G
G c(G) = 3
00010
00100
01000
10001
00010
T T
G G
G
K3
Kn
n n
Kn,2
T
G n v1vnG
δ G
δ=∑n
i=1 deg(vi)
n
δ > 2G