%PDF-1.5
%
4 0 obj
<< /S /GoTo /D (section.1) >>
endobj
7 0 obj
(1. Introduction)
endobj
8 0 obj
<< /S /GoTo /D (section.2) >>
endobj
11 0 obj
(2. Preliminary properties)
endobj
12 0 obj
<< /S /GoTo /D (section.3) >>
endobj
15 0 obj
(3. Basic observations on graphs and GSCs)
endobj
16 0 obj
<< /S /GoTo /D (section.4) >>
endobj
19 0 obj
(4. Essential cut vertices of Hata graphs)
endobj
20 0 obj
<< /S /GoTo /D (section.5) >>
endobj
23 0 obj
(5. Detecting essential cut vertices in finitely many steps)
endobj
24 0 obj
<< /S /GoTo /D (section.6) >>
endobj
27 0 obj
(6. Proof of Proposition 4.8)
endobj
28 0 obj
<< /S /GoTo /D (section.7) >>
endobj
31 0 obj
(7. Possible numbers of cut points)
endobj
32 0 obj
<< /S /GoTo /D (section*.1) >>
endobj
35 0 obj
(References)
endobj
36 0 obj
<< /S /GoTo /D [37 0 R /Fit] >>
endobj
50 0 obj <<
/Length 3499
/Filter /FlateDecode
>>
stream
xڽrܶ_of0>9n4Mmi Rx"[䊶3>Hs&|"~{nr'&m24ݤiBm77ͻU]讶Uf#
cQn~ [U'ߔCUL ʮaBcǦ߇&6q$mlt#dro֨Ƽ?|hyP|]_ԻwCπ| +Fc8I^au=?\iCѺ>=&݃g^ˋDQl8ym6[,ž)&ʚ`pLyRh0azL+
icqkM|Dz3_62-Ĺʀ6UHmn+_e:}2iдܻG,eGny!RР:ƖI
ȽsA)fAjYdUeK-I#TX>æ6l'ຩ
{jM3:!5 &8_FSCG[t]C4vH_Xl*m(zMr*%]uh(6Xc%
AV|-,W6 mvh#:"f(\NGr:!mE{=z9ɉ[Ե5#]88Ex3膲-=*:-/nxdWtxm|DEiCbb& վ/GZ6TVNxNpI蝀epq:4K$
v#=!/@4S-tCtAL)qСe5Kl=.jE6 [fqGeQ1qgvŌ;<]gQPtWv4<㰓Hݱ1q_ZQzpدj}Gh}h"6f|FV p.ml<m2?ӓ(%Sv0/*bCܑp72㱨6*Β
=ch0snĜjV;tgL!gs[bJʄ@@k;p$/z{I;R`u%i#)z=b">":Oe{G'%wҁFL dhIzn8!q2܀QBhsMt!m
Pq^Yfr~Nw:DEazA^
$Ȁʆ#%p ]]r?c=Ns$gܜ=-ٟuT&]*)kQKn@6բʌ$ԻyJidIi8jd )^Y6sNvsaiNpQ2p_ک5zxB@̃~i)BHy`#O'
cpq7`e ~ng];T7#b"0jdI~Wb)@]ŮXM#|]\^sJ/md_8D/Zc3HLQpciF4qaBt3Ԙm=uy)gx:e!K]VFVoQ
iQnNp[Id"UF aJ: k"W5wJ0篪QwXq$kE/8
QCgy$[4j0r,ztGz?4z":~Q2LL,nM(!/F]S0]t(:]7Ș=:TY)ABzȨNuSԊ`M0S.3?koy$+G+SD]F*:V\GN{
kFpA2ZOf BJC? n=WA~3ۡ.\
y81D.}Yʇ,nJ CGNhk>*Y!H'by2Z+o4U#[Ї|l~Gdr;A VwΘq|'gޥ h<SjPSISѷg wˆX80S}D8v4D"`>g}U4Cr݁Ȯ0g3ma|qŝ40~*8*,功\:"_q86\(˚W E}Io%Si
dS{4ip}'J^d4l"1|ln]Id-dJtbW1k;Cӎ!Jke=LtRDQN,RY}Qb 0u3ah&<u>JTM8KHB'lR:0rJlBe%Bln*5ty8㛄
MKgEC3yv̭ueմGv 2SI1uN 7Js{0 ǡrpߡ@#ڔ{a_Ǩa).x 3sC>\U=ok9?DlDaH)y ψgUɡ/Ud,MG3n|9"
GolԭZ>ҘlUcz.Ez%-ұk腃=@Rѓ@%*_ˢS6d) ?m%v ;=sCj9cHǢ+R"1ϳN;Ofo kRY 4n]1DT"⾐_Z\s%-I{9KDmί6c\!dSTN.lTg|9\A/%RAH9w'eїB\"?
/{ ^='*+ش~{kz+50e)3.*h˙m2Ò[E"Ku_o^/DITȮzCY<|$j*M1(7o_{&:Ek|,dTO7/t/WM{xA/!$|*
7'`B9}/=QюnakbmWYgnG#ƈ8zjG0/6/HsiH%El/atZ..OWXM\{a aM+ܙ~끛ŻIB:䒑n> endobj
38 0 obj <<
/Type /Annot
/Subtype /Link
/Border[0 0 0]/H/I/C[1 0 0]
/Rect [101.806 415.453 103.799 422.077]
/A << /S /GoTo /D (Hfootnote.1) >>
>> endobj
39 0 obj <<
/Type /Annot
/Subtype /Link
/Border[0 0 0]/H/I/C[1 0 0]
/Rect [105.707 415.453 107.7 422.077]
/A << /S /GoTo /D (Hfootnote.2) >>
>> endobj
40 0 obj <<
/Type /Annot
/Subtype /Link
/Border[0 0 0]/H/I/C[1 0 0]
/Rect [109.608 415.453 111.601 422.077]
/A << /S /GoTo /D (Hfootnote.3) >>
>> endobj
41 0 obj <<
/Type /Annot
/Subtype /Link
/Border[0 0 0]/H/I/C[1 0 0]
/Rect [113.509 415.453 115.502 422.077]
/A << /S /GoTo /D (Hfootnote.4) >>
>> endobj
42 0 obj <<
/Type /Annot
/Subtype /Link
/Border[0 0 0]/H/I/C[1 0 0]
/Rect [117.411 415.453 119.403 422.077]
/A << /S /GoTo /D (Hfootnote.5) >>
>> endobj
43 0 obj <<
/Type /Annot
/Subtype /Link
/Border[0 0 0]/H/I/C[0 1 0]
/Rect [499.049 318.789 506.893 328.489]
/A << /S /GoTo /D (cite.Why58) >>
>> endobj
44 0 obj <<
/Type /Annot
/Subtype /Link
/Border[0 0 0]/H/I/C[0 1 0]
/Rect [115.223 207.207 123.067 216.907]
/A << /S /GoTo /D (cite.Hat85) >>
>> endobj
45 0 obj <<
/Type /Annot
/Subtype /Link
/Border[0 0 0]/H/I/C[0 1 0]
/Rect [446.571 151.416 454.415 161.116]
/A << /S /GoTo /D (cite.ALT21) >>
>> endobj
51 0 obj <<
/D [37 0 R /XYZ 46.444 804.416 null]
>> endobj
52 0 obj <<
/D [37 0 R /XYZ 82.877 753.152 null]
>> endobj
5 0 obj <<
/D [37 0 R /XYZ 82.877 396.497 null]
>> endobj
64 0 obj <<
/D [37 0 R /XYZ 94.832 126.596 null]
>> endobj
65 0 obj <<
/D [37 0 R /XYZ 94.832 114.641 null]
>> endobj
66 0 obj <<
/D [37 0 R /XYZ 94.832 102.686 null]
>> endobj
67 0 obj <<
/D [37 0 R /XYZ 94.832 90.73 null]
>> endobj
68 0 obj <<
/D [37 0 R /XYZ 94.832 78.775 null]
>> endobj
49 0 obj <<
/ColorSpace 3 0 R /Pattern 2 0 R /ExtGState 1 0 R
/Font << /F17 53 0 R /F42 54 0 R /F44 55 0 R /F43 56 0 R /F45 57 0 R /F11 58 0 R /F14 59 0 R /F8 60 0 R /F16 61 0 R /F50 62 0 R /F80 63 0 R >>
/ProcSet [ /PDF /Text ]
>> endobj
79 0 obj <<
/Length 5853
/Filter /FlateDecode
>>
stream
x][7v~ׯ}XNn;v9Z&+53#9Krt$= ,{'6\;`ۋœy]H/^\hZi.Txy}jAY}oJ+E5bq\2~l.REߺ2ѷ]/ع5Is"/G^C/)ܸvfX3ٷ;[r5[k?W~]au( x"TJK3kCD܆ЊбSߍL(.-ikoF.TeTM)₻fqSܴ %ڏ` njkc]{F:j(+IR>JԹ
fI*&ȮTzuYz2ZsaC#r&7ZQ*ax%u/Qrg
~E_Rطf~X7m߹W6Wvݕkp6fA9EbJhQOv5Fkg76Mt:aFh8aK(lU7nD%jOhF*F qLx_s\rGT/ (.&Xݮ7 禢xUVu1`02+9 ۇ4OtPZTGc9V!g%7Z"'dL'0hr*¬C2sݳ`5=Dz㬳zo2kψoA|ˋP2Lؕ?eDz/VP
3R聺Q晻b}Uu8f:{{I/Ye
0c53zfsFJ3oZj}Od>IVH0_Kdy@أ
AV]6B,I]h,0⛽oszϯOy 2Jӱ]ㇼz=醶2ސz{"C)b۵«.+ Ks<2OϗTq,oY5W0q)HIfql5k}[N:uB;/W,VnSEb
9N07εxt^vG7xJ =@kr6
7ݺ>riu'>@x-~ۍվ`T%/}{)8p9k9 4ꗗ.6-l9E)`5{r=n>CEo
n\~>?vl:n85ؕ05v
_g556mjf ]V^2o݊[N96
{dgnnwHyмe|7}lV+'l֟C]7TRmI#1!1s]Yt.KqT?2R ՒSAh,|_X_ݖ*R@Pl*y#3j
[}7rд|ڣ~n;SwVFh%IQB̊}:8gȅSb6N#P;^Zmt^Ι+T`PYI@*+Lg@HLypfom!%`VVC>q^;
5 vf o>;?HĄTBqs;?hxE:Q)12A+x 2Y^:4{n`gTʰ*tTZvc+8p8X0-
C?k}+>9b9a#6??哿==46|Cɫkl)(z}6](ɿX}j|gLWЩK㦚htkrF6KJ!X%:cavf.hv㜦:iڳ6h0sYY}E5Z8"CH/SHn>
p^%h=