KO 28.10.16
fah-2.LI [ Saia
aMENTER
,qnihkt
,bogeudijunht ]
Sind D= ( V
,
A)
einDigraph
,
Ste V
und KEN
,
so
gilt
:Es gilt geuan dam k bogeudijuuhi
st
.Uge in D
, anesfnjede
Teenage RSA ur 1121
£k
. Ieven st
.Ug in A 'R gin
.Bend
.Sind U
, , . . ,Un
e-A st
-Uye ul
Winwj =P titj ,
sogilles offuidlth
fur jedes Ret
in't IR Kk
.l
inie Ltd wit Win R
=¢
.•
Get
esuugekehul fin alle REA ul
1121£ b-
I evenst
-Wy
inA- R
.•
Daun gin
esin Nehherk ( D ,n ) ml
n =
1in kin $EV mrsef
'und t¢$
und u( such )= 1M$11 -4-1
.•
Da
ngaenahlj
,ist also die minimal
wkapanileit
ewesst
-Schultes in D winelesku
)k
..
Nad Sat 2.16 ( Max
.Hoo
-th
.Gttleoeu )
gilt
esalso
einst
-Thssfoouhkrte ;
had Sak 2. A henna
weauaehueu
,
does
f- EINA
,also ( ugeu
u=Aa ) fete
,igtirt
.•
Dehompouen man f lie in Sak 2.18
in st
.Wey P und Kuse C ul
gauttehljem
w,
soit w(P)=l
fr Ile PEP ; wgea vallfkh
also IPI =L
.•
Da
u =Ha and die Uye in P
bogeadsjnnkt
.#
Altrualiufrmtvnydahe .19
Die maximal Antell
wonbogeadsjuuhks
st
.Wgeu ist gle 'd do minimal
kardinaltat ew Bgeaueye
,uad dem
Cutting kin st
-Uy web aishit
.Enter gin
esk loges
-dshukk
st
-Wege odr es gilt < k Bogen
,nad dena
Eatfmuy bin set Ug
well ewskvt ( ah wdt bids )
.Sak 2.21
÷ d G= ( Vi E)
enGraph
,
ste V and
keln
, sogilt
:Es gin gun dam
k hauteudsjuuhk st
-Wege in G
, weu esfu jede Teenage FEE nil IFI
<let
even st
.Wg in Gltgim
.Being Folgt
anSak 2.19
- µ
@-@
m) @~@
sah-2.22L.net kuoteudsjuukk k st keln
-Wye
,G=
sosimdt ( gilt V. E) G
: ,Es
en( in
Wenaf Graph gilt
esin
,gun fun Ste jede V dam and ) Teenage
Tia Vi {
s,t } we Kr Kh
. 'linen st
.Ug in Giw gin
.But
:Ibp
an ,Sah
.2.19
.r in
* @ Y¥F¥€
.
W@koollar2.24EinCpephG-AiE1mh1vl72istgeuanokuak-fadkauteu-2nsawwealayeudgweunes2nsdnujeoknPears.t
e
V
( s±t ) weighs k kaukadsjuhk At
-Ugegtk
.kaollar
2.25 ¥ lvbk G = ( v. E) mh it
geuan dear k
-fad
kuotentusawwealayeud
,
wean es