TL#4&UM)/"8!!89:*)/"8/""/!!0;?ˉij>PkzuUVR45&UV)/""/9?s(/7(l?mn?Ao})/")MR45&UVs")O/))L!!=" />

文档库

最新最全的文档下载
当前位置:文档库 > Halin图谱半径的进一步论述5

Halin图谱半径的进一步论述5

!K 3(LK .v ′μk ??· ??1 G B +M 3(;B M .!)/"8M 7N N L O J&-P I JB Q R -,%L ";$C L 4S ,L >TL #

4&UM )/"8

!!89:* )/"8/""/

!!0;?ˉ ij>P k zu UV R 45&UV )/""/9?s (/7(l ?mn ?A o})/")MR 45&UV s ")O /))L !!=>?@ a (;""7(72#&X &??o ~b &p y &cd &fghi7?Co &>D W $,+)I J$-P wS J$B .)/"X"9.L S B W L !!AB1C a (;&?qr L *$+,-]^_`.a$bcd +N ,L CD ooE )éoF &)/"8&3(".#)./2

..L V /08.[°n±Q2G3′μ

,:; !<=>

"l ?mn ?A o}éo ! i l ?83"//3#

VW {Z e23 *+*$+,-].^_`???e)0"$*#$"^*2)' ^)L üc ±?e)ì?eV .n g L ?&> üc 95)¨yg.*

$+,-].^_`&?? 95)¨yg.*$+,-].^_` Wi .Dc L DXY *

$+,-](^_`(?I ](?:(yg (?g Z[\H] Z

"8(L 8!!!!!C^_`a 0!!!!!Cb6] "9("29=3"")/"8#/.2//./2/3U X R "/L .797:[L ,Y Y -L "9("29=3"L )/"8L /.L //8

&$Ac

?°^_`.N {:MN &?′?écCo+?áê7g &? ??g ??^_`.$¨·?MN j .

m ,+? ?y 3 áê7g . ?&± om .P s & ?? ?67g .D?+"23,

L "797M &*$+,-+3,?üc |?.2)k ú?] *

$+,-]&~ & m ?*$+,-].g * * C *^_`.fí:?]et t

+32=,

&>?? ?@u .D?L )///M & {Z :vw +(,??ú?]:*

$+,-]^_`.fía ? &?? *$+,-].^_`.* fí0"$#$"^ *&> ? ?êfí.?]&a$b ?? 95'¨yg.*+*$+,-]$.^_`0

"$#$"^*2)' ^)L Yà f??e)ì?eV .?]&> ?95)¨yg.*

$+,-].^_`a ? üc &?? ±%*

$+,-].^_`x i .

3$¥*+H )k ]&!"$#¥]$.z 3?°&!"$#.| μ·j 0? ]$.^_`& 0"$#S 0"$#á?7.. ìμ· 9? ]$.F &''B - S $H??g [á!?. .C 5? ?g [.|& ?$.á5?g 5á?.?g|T &I?$¥T 2?I ]&H? ?I .S

3L ¥$¨{"|g ?&? g.||8¥..?&í?L ."|g } )3?$¨~á??.]? *$+,-]L ?~f.g *

$+,-].?g &? .g *$+,-].yg S A&'

+(,

!3$* *+*$+,-]& 5'¨yg &I 0"$*#$"^*2)'

^)S A&%+(,

!3$¥*+H )k ]&!

"$#¥]$.z 3?°&0"$# $.^_`&4"%# #$64)S I W ,-[&`

"$#F ["4"!##$4"0"!##$W $k [&`

"$#F ["4"!##&?H F [

"4"!## ó?°4"!#.K [?[ :& 4"!#.?:?e &f ) £?e)S

h&'$3$* *+*

$+,-]&' ó*$+,-].yg ¨C "'%)#&I .$0"$*#$"^*2)'

^)&?H eV? ê ′ê$* *+.2?I *$+,-]& ê 0"$*#$"^*2)' ^)\.S (?$* ygC

!K .v -;< o *

$+,-÷'()è*?+,- "e") ?¥.2?I .*+*$+,-]&I ._0"$*#_

"^*2)' ^)S jk $3*+]$*.?g|0± R "&R )&-&R *&I 0"$*#%

"

*+*

&X

"R )

&S ?*+*$+,-].N ¨?g .|C |8¥.&h?.$0"$*#&&DY é"&(?.$0"$*#$"^*2)'

^)S y? 1-#±?e)eV? .n g L ?S

?0"$*#\"^*2)' ^)&I "0"$*##)

2)0"$*#\*2)'^)S ?ààá+(,H.?é.S ).-#*-&?°!)2)!.#$?: ?(m *2)'^"&n? é)?"0"$*##)

2)0"$*#$*2)'^)&eV? ê ′ê!)

2)!.?:áe e"*2)'^"S p? ?yg 'ìj .??1üc S ê'\

) &?]"&5F [""!)2)!#\F [""!)

#2)F [""!#\.*"^*)^"2)"*"^"#\*"^*)2"\*2.&F [)"!)2)!#\F [)"!)#2)F [)

"!#\.*)^*"^"2)"*)^"#\*)^*"2"\*2.&??["áz .L .*"¨gH #ì$¨g & [

&I F ["!)2)!#\F ["!)

#2)F [

"!#\)a .^*"^"2)a .\*"^"&??[)áz .M .*)¨gH #ì$¨g & ? [

&I F ["!)2)!#\F ["!)#2)F [

"!#\)a .^*)^"2)a .\*)^"& ?0"$*#\

"^*2)' ^)&Iàx ?.T\*??°!)

2)!á5.?:èég áe&(*"^*)2"\*2.\*"^"\*)^"&h???*"\*)\)&*\9S ($* *+.2?I *$+,-] 0"$*#\

"^*2)' ^)\.S ê'\. &?])" )??

g [)áz .?g *?§ì"p?. f &í?>?§e??p??:.N {&á * 93è ì"B $L f &p?ê'ì .C j ?K.jé#&

5

Halin图谱半径的进一步论述5

Halin图谱半径的进一步论述5

['$./?)è*0*$+,-÷O 85C '$*D B 'T&'*$+,-P '$UJY h ,C J

,-C &',B 'UB ,-C Y i B ')

[%$./?.è*0*$+,-÷O 85C %$*D B 'T&'*$+,-P '$UJY h ,C J

,-C &',B 'UB ,-C Y i B '.

F [""!)2)!#\F [""!)

#2)F ["

"!#\.*"^*)^)2)"*"^"#\*"^*)&F [)"!)2)!#\F [)"!)

#2)F [)

"!#\.*)^*"^"^*.^"2)"*)^)#\*"^*)^*.2)& ?0"$*#\"^*2)' ^)&Iàx ?.T\&?°!)

2)!á5.?:èég áe&h?*"^*)\*"^*)^*.2)&(?*.\)&??[.áz .M .*.¨gH #ì$¨g [

&I F [\"!)2)!#\F ["!)

#2)F [

"!#\)a .^*.^"2)a .\*.^"\.&(?])H & ?0"$*#\"^*2)' ^)&Iá5.?: ge".&DY *$+,-].? &??*"\)&*)\"&*\=S ($* *+.2?I *$+,-] 0"$*#\

"^*2)' ^)\.S ê'\

3 &?].&5F [""!)2)!#\F [""!)

#2)F ["

"!#\.*"^*)^)2)"*"^"#\*"^*)&F [)"!)2)!#\F [)"!)

#2)F [)"!#\.*)^*"^"^*.^)2)"*)^)#\*"^*)^*.2"&F [."!)2)!#\F [."!)#2)F [.

"!#\.*.^*)^)^*3^"2)"*.^)#\*)^*.^*32"&F [3"!)2)!#\F [3"!)

#2)F [3

"!#\.*3^*.^)2)"*3^"#\*.^*3& ?0"$*#\"^*2)' ^)&% !)

2)!á5.?:èég áe??*.\"&3?[.áz .g [

&I F ["!)2)!#\F ["!)

#2)F [

"!#\)a .^*.^)2)a .\*.^)\.&"

.

′μk ??· ??1 K 3(L

5*"\*3\)&*)\*.\"&*\"/S ($* *+.2?I *$+,-] 0"$*#\

"^*2)'

Halin图谱半径的进一步论述5

Halin图谱半径的进一步论述5

^)\.S [#$./?3è*0*

$+,-÷O 85C #$*D B 'T&'*$+,-P '$UJY h ,C J ,-C &',B 'UB

,-C Y i B '3

[!$./ò%8è*0*

$+,-÷O 85C !$*D B 'T&'*$+,-P '$UJY h ,C J ,-C &',B 'UB ,-C Y %8

ê'%8 &?]3&5

F [""!)2)!#\F [""!)

#2)F ["

"!#\.*"^*)^)2)"*"^"#\*"^*)&F [)"!)2)!#\F [)"!)

#2)F [)

"!#\.*)^*"^"^*.^)2)"*)^)#\*"^*)^*.2"&F [."!)2)!#\F [."!)#2)F [."!#\.*.^*)^)^*3^)2)"*.^)#\*)^*.^*3&F [3"!)2)!#\F [3"!)#2)F [3

"!#\.*3^*.^)^*8^)2)"*3^)#\*.^*3^*8&-!-!-F ['2)"!)2)!#\F ['2)"!)

#2)F ['2)"!#\\*'2.^*'2)^*'2"&F ['2""!)2)!#\F ['2""!)#2)F ['2"

"!#\\*'2)^*'2"^*'2"&F ['"!)2)!#\F ['"!)

#2)F ['

"!#\\*'2"^*'& ?0"$*#\"^*2)' ^)&?m H .N {*?*"\*'\)&*)\*.\-*'2"\"&*\)'^)S ($* *+

.2?I *

$+,-]S -m 1&93$* *+.2?I *$+,-]&I 0"$*#%

"

*+*

&X "

R )

&X .&DY

*$+,-].? ??ê *\)'^)&h?0"$*#$"^*2)' ^)\.&.0"$*#\

Halin图谱半径的进一步论述5

"^*2)' ^)\.S [($./ò?)1*"\

)è*0*$+,-÷ *%(

O 85C ($*D B 'T&'*$+,-P '$UJY h ,C J ,-C &',B '

UB ,-C Y i B ')$-T *"\) *%(

h&%$3$* ygC ) *"\

).*+*$+,-]"*%(#&?]8&I

0"$*2"#_0"$*#_0"$*^"#S

jk !95)¨yg.*

$+,-]+C |8èé¥9&á ??¢ 93*%(S p?-#0"$*2"# £ Wi S

3?9"\"0"&0)&-&0*2"#]

ó$*2"á?7.*2

"+F &''B - "?H 0& ó??g [&á?7.T #&#ìmC 0*

c 030*2"

0)^03^0*2"

&ò9\

9"0()

*

&!U "$*2"#\

!"$*2"#

/(

)

/

/

&

(!U "$*2"# ó??°!"$*2"#. f D $?:$±/á??.*

+?°S I

0"$*#20"$*2"#\W $k :]!"$*#:29]"!"$*2"#9"\W $k :]!"$*#:29]

!U "$*#9c 9]!"$*#929]!U "$*#9\9]"!"$*#2!U "$*##9\)"0)0*^030*^0*2"0*2030*2"#\

)+"0)^03^0*2"#0*2030*2",&

?0*c 030*2"

0)^03^0*2"

&h???0"$*#20"$*2"#c /&(0"$*2"# £ Wi S )

.

!K.v-;< o *$+,-÷'()è*?+,-

%$3o?p

k m<$C J&W$C,S Y {?? ygC ) *"\). T*+*$+,-]$*.^_`&? "S

r'$./ò?)1*"\)è*0*$+,-÷è'()

T/S C'$]J&Y U&S C'$+'$T,QY B i*D B'T&'*$+,-P'$UJY h,C J,-C&',B'UB,-C Y i B')$-T*

"

\) *(=7"/""")

0"$*#.L"("=").L.9987.L88.=3.L(.3(=.L7/(=(3L/(./9 f? £H.D?Aó~ *ìj. 0"$*#x i .

#$

? {Ze23.*+*$+,-].^_`?e)0"$*#$"^*2)'

^)a? &?? ±?e)ì?eV.?]&> % ].$!*a&DY*$+,-].μg23 95)¨yg.*$+,-].^_`x Wi

2sC^

+",!?,Q N,$-I JB Q&O J$-P E J$B HQ$-L4B W&S',C&',$i B'-B-Y,-P Q+$'*'W$C',S&Y+N,L;$C Q'$+4S,&-S&N B Q'-$+B i s,$-P C$-R-,%&'Y,C g& )//=&./".#))"2)7L

+),!a(;&?qr L?°^_`.$% {1+N,L Do}oE&)//7&"7"9#)"92"=L

+.,! L!"]^_`.$¨?e)+N,L éyêo}oE)PQRoF&"77)&8".#))9.2)9=L

+3,!*$+,-6L4C QT,&Y B-W,-,W$++g*D S B--&S C&T P'$UJ+E,2F'B S&&T,-P Y B i E B W1,<$C J$-T,C Y0UU+,S$C,B-Y L Z k i B'T&"797L

+8,!? &a &a< L*$+,-]. *+N,L f1 Eo}oE&"773&"8""#)"72)3L

+9,!O J$-P O JB-P i Q&m$-P N,$-P i$-P&?,*B-P k,$-P L0-B C&B-C J&C B C$+S J'B W$C,S-QW1&'B i.D'&P Q+$'*$+,-P'$UJ+N,L<$C J&W$C,S Y ,->S B-B W,S Y&"77(&"3")#)72")L

+(,! {Z&vw L?ú?]:*$+,-]^_`.fí+N,L CoM &)///&)"0"9#)9((29=)L

+=,! & {Z L*$+,-]^_`.=fí ?]+N,L.X7?CooE&)//=&).".#)..82.3)L

PO,-;34-U8:?,::8+.+1;34>D4?;-/0L/A8,:+1V/08.J-/D3:

O*0;#E J$B D HQ$-&!?5Rs,$B D JQ,

"I'B2):6A H DB&/*B/&$2&)&*<*&[/O F&:6A H"/O A F Q'B/L/B?*A)A+6&$2&)&*83"//3&,?&*'#

P S:;-/?;)]J&,-&HQ$+,C g0"$

*#$"^*2)'

^)C J$C C J&Y U&S C'$+'$T,QY B i*D B'T&'*$+,-P'$UJY Y$C,Y D

i,&T h$Y B1C$,-&T1g4JQ N,-+B-P L]J&-&S&Y Y$'g$-T Y Qi i,S,&-C S B-T,C,B-B i C J&&HQ$+Y,P-h$Y T,Y S QY Y&T& $-T C J&S B-S+QY,B-C J$C C J&Y U&S C'$+'$T,QY B i*$+,-P'$UJY h J,S J S B-C$,-C h B,-C&',B'UB,-C Y,Y W B-B C B-& ,-S'&$Y,-P h$Y P&C C,-P L

\4

"R#U Q)M g #

..