Multi-coloured Hamilton cycles in random edge-coloured graphs Colin ...

7 downloads 122 Views 169KB Size Report
Colin Cooper*. Alan Friezer. June 11, 2001. Abstract. We define a space of random edge-coloured graphs {n,m,* which correspond naturally to edge ...
 

     !  "# $  $%&

' $( % *),+" -.(/10123-4.5.76 8:9@2BAC9D0E8GF:8IH

JLK 2M8ONLN@PRQTS7SMN U V7WXY[ZG\]X ^_a`b_cede_gfhjiefDk_alnmojfnd:`plDqr_'`bsn_t1klDuvlDweox_`4snoyfnibz:h|{e}~ €!~ ƒ‚!ze„…k†z‡klnojox_hxiˆlnd:` d:f‰ywboyfnuvuvŠ‹‰jlŒ_'`bsn_$ptEklDuvlDwboj„…dbsŽhlnmaR}Ž~ €‘’^_“hxzbl[‚r‰yz:f‰‰jze_oj_‡_”p„•h–‰klDdehx‰yfndŽ‰†h —™˜]š—›gœžpŸ hxw:k†z¡‰jz:f]‰ieoxl[¢p„…`b_'`“£¥¤’—™˜¦|uvlDs5¦§fnde`¤’—›x¦,‰yzb_'dfoyfnde`blnq _`psD_ klDu…lnweox_`¨sDoyf]iez“klDd‰yfn„vd:h f©qawbuv‰j„vt1klDuvlDweox_`¨ªRf]q „…uv‰jlDd¡k Šbku…_g‚!„v‰jz¡ibojln«:fn«b„…uv„v‰?Š ‰y_d:`p„…desa‰ylŸn¬:fnhM‰yze_|d@/HI(0* =>:J@/* :JK LMN.21>AKO;P=Q89,/KRBD.21>1>:JH?:2L SN@/=QTU: V9KO=Q8XWI.23ZY[.2@/A/.2@\L Y[.2@/A/.2@R(0]_^ `bac dLSNeFf]hgi;j6?=>1kmlhnOl2o+o prq2sut2vuo0w2xDnyulhn{z0|}n ~O :€Er6 VO89;: @/*J: K LB}6V9@: H2=>:&4R: 1>1ƒ.?@…SN@/=QTU:€V9KO=>8XW2L0†‡=Q8O89K ˆG/V9H?,…†\‰Š^)‹?Œu^)0LuSZfŽ(rf ‰ZfQL (+GuE/E\. VO89:JA=>@…E6VO8ˆ0W…c‘(+’“H?V-6?@U8&BBD”_gX•?–u^)– `^?^?f—]—gi;1kmy+w+y ˜tUsuy ˜uxuo™_nš™y2›UœnOl ™uznq2x2zmf  ‰žKO:JŸ+G/: @* :.23 : TU: @U89K¡0¢=>KK96?=>A…89.P.0* * G/V‘£h¤š¥š¦…¦+¤Q§ ¦Š¨©9ªU«9¬+«­¤®¯¤¥°F±{²j³[´hµD=>31>=>;P¢+¶5·¸‘¹0±{¡0¢rµhºž^ f »



?