{"id":124,"date":"2007-10-05T22:58:48","date_gmt":"2007-10-05T20:58:48","guid":{"rendered":"http:\/\/wordpress.callac.online\/index.php\/exemples-de-graphes-avec-metapost\/"},"modified":"2023-10-14T20:12:48","modified_gmt":"2023-10-14T18:12:48","slug":"exemples-de-graphes-avec-metapost","status":"publish","type":"page","link":"https:\/\/wordpress.callac.online\/index.php\/edition-mathematique\/metapost\/les-graphes\/exemples-de-graphes-avec-metapost\/","title":{"rendered":"Exemples de graphes avec Metapost"},"content":{"rendered":"

Les exemples suivants utilisent des fichiers de configuration disponibles ici<\/a> :
\n– dlf_tex.mp
\n– dlf_boxes.mp<\/p>\n

Exemple 1<\/h2>\n
\n

\"graphe1.jpg\"<\/p>\n

Exemple 2<\/h2>\n
\n

\"graphe2.jpg\"<\/p>\n

Exemple 3<\/h2>\n
\n

\"graphe3.jpg\"<\/p>\n

Exemple 4<\/h2>\n
\n

\"graphe4.jpg\"<\/p>\n

Exemple 5<\/h2>\n
\n

\"graphe5.jpg\"<\/p>\n

Exemple 6<\/h2>\n
\n

\"graphe6.jpg\"<\/p>\n

Voici les sources :<\/p>\n

input geometriesyr16.mp ;\ninput dlf_tex.mp;\ninput dlf_boxes;\n\n\n%------------------------------------------------------------------------\n% Exercice 1\n%------------------------------------------------------------------------\n\nu:=1cm;\nfigure (-20u,-20u,20u,20u);\n\n\ncircleit.bb(TEX(\"{\\large $B$}\"));  %d\u00e9finition des noeuds\ncircleit.dd(TEX(\"{\\large $D$}\"));\ncircleit.ff(TEX(\"{\\large $F$}\"));\ncircleit.hh(TEX(\"{\\large $H$}\"));\ncircleit.kk(TEX(\"{\\large $K$}\"));\ncircleit.mm(TEX(\"{\\large $M$}\"));\ncircleit.nn(TEX(\"{\\large $N$}\"));\ncircleit.ss(TEX(\"{\\large $S$}\"));\n\n\nmm.c-ss.c=(4u,-2u);                % positionnement relatif des noeuds\nkk.c-ss.c=(-3u,-u);\nff.c-kk.c=(0,3u);\ndd.c-ff.c=(-2u,2u);\nbb.c-dd.c=(10u,0);\nbb.c-nn.c=(-u,4u);\nhh.c-ss.c=(0,7u);\n\n\n\ndrawboxed(bb,dd,ff,hh,kk,mm,nn,ss) ;  %dessin des noeuds.\n\n\n\nlabel(TEX(\"\\colorbox{white}{230}\"), aretec(ss,mm,0,0.5)) ;  %dessin des ar\u00eates\nlabel(TEX(\"\\colorbox{white}{210}\"), aretec(ss,nn,20,0.5)) ;\nlabel(TEX(\"\\colorbox{white}{630}\"), aretec(ss,bb,60,0.35)) ;\nlabel(TEX(\"\\colorbox{white}{650}\"), aretec(ss,hh,110,0.5)) ;\n\nlabel(TEX(\"\\colorbox{white}{580}\"), aretec(mm,bb,80,0.5)) ;\nlabel(TEX(\"\\colorbox{white}{780}\"), aretec(mm,hh,130,0.5)) ;\nlabel(TEX(\"\\colorbox{white}{600}\"), aretec(mm,dd,160,0.6)) ;\n\nlabel(TEX(\"\\colorbox{white}{600}\"), aretec(nn,hh,140,0.5)) ;\n\nlabel(TEX(\"\\colorbox{white}{490}\"), aretec(bb,dd,220,0.75)) ;\n\nlabel(TEX(\"\\colorbox{white}{490}\"), aretec(ff,hh,90,0.5)) ;\nlabel(TEX(\"\\colorbox{white}{120}\"), aretec(ff,kk,300,0.5)) ;\n\n\n\nfin;\n%-----------------------------------------------------------------------\n\n\n\n%------------------------------------------------------------------------\n% Exercice 2\n%------------------------------------------------------------------------\n\nu:=1cm;\nfigure (-20u,-20u,20u,20u);\n\n\ncircleit.gg(TEX(\"{\\large $G$}\"));  %d\u00e9finition des noeuds\ncircleit.aa(TEX(\"{\\large $A$}\"));\ncircleit.kk(TEX(\"{\\large $P$}\"));\ncircleit.rr(TEX(\"{\\large $R$}\"));\ncircleit.cc(TEX(\"{\\large $C$}\"));\ncircleit.qq(TEX(\"{\\large $Q$}\"));\ncircleit.ee(TEX(\"{\\large $E$}\"));\n\n\n\nkk.c-rr.c=(0,6u);                % positionnement relatif des noeuds\ngg.c-rr.c=(-4u,-u);\naa.c-gg.c=(0,6u);\ncc.c-aa.c=(9u,0);\nqq.c-cc.c=(2u,-2u);\nqq.c-ee.c=(u,3u);\n\n\ndrawboxed(gg,aa,kk,rr,cc,qq,ee) ;  %dessin des noeuds.\n\n\n\nlabel(TEX(\"\"), aretec(gg,aa,30,0.5)) ;  %dessin des ar\u00eates\nlabel(TEX(\"\"), aretec(aa,kk,350,0.5)) ;\nlabel(TEX(\"\"), aretec(kk,qq,280,0.5)) ;\nlabel(TEX(\"\"), aretec(kk,ee,270,0.5)) ;\nlabel(TEX(\"\"), aretec(gg,rr,70,0.5)) ;\nlabel(TEX(\"\"), aretec(rr,cc,80,0.5)) ;\nlabel(TEX(\"\"), aretec(aa,cc,50,0.5)) ;\nlabel(TEX(\"\"), aretec(aa,qq,40,0.5)) ;\nlabel(TEX(\"\"), aretec(ee,cc,120,0.5)) ;\nlabel(TEX(\"\"), aretec(ee,qq,120,0.5)) ;\n\n\nfin;\n%-----------------------------------------------------------------------\n\n\n%------------------------------------------------------------------------\n% Exercice 3\n%------------------------------------------------------------------------\n\nu:=1cm;\nfigure (-20u,-20u,20u,20u);\n\n\ncircleit.aa(TEX(\"{\\large $A$}\"));  %d\u00e9finition des noeuds\ncircleit.bb(TEX(\"{\\large $B$}\"));\ncircleit.cc(TEX(\"{\\large $C$}\"));\ncircleit.dd(TEX(\"{\\large $D$}\"));\ncircleit.ee(TEX(\"{\\large $E$}\"));\ncircleit.ff(TEX(\"{\\large $F$}\"));\n\n\n\n\naa.c-ee.c=(0,6u);                % positionnement relatif des noeuds\nff.c-aa.c=(-2u,-u);\nbb.c-ff.c=(8u,0);\ncc.c-bb.c=(2u,-2u);\ndd.c-ee.c=(5u,0);\n\n\n\ndrawboxed(aa,bb,cc,dd,ee,ff) ;  %dessin des noeuds.\n\n\n\nlabel(TEX(\"\"), areted(ee,aa,0.5)) ;  %dessin des ar\u00eates\nlabel(TEX(\"\"), areted(ee,bb,0.5)) ;\nlabel(TEX(\"\"), areted(ee,cc,0.5)) ;\nlabel(TEX(\"\"), areted(ee,dd,0.5)) ;\n\nlabel(TEX(\"\"), areted(dd,aa,0.5)) ;\nlabel(TEX(\"\"), areted(dd,ff,0.5)) ;\nlabel(TEX(\"\"), areted(dd,bb,0.5)) ;\n\nlabel(TEX(\"\"), areted(cc,bb,0.5)) ;\nlabel(TEX(\"\"), areted(ff,bb,0.5)) ;\nlabel(TEX(\"\"), areted(ff,aa,0.5)) ;\n\n\nfin;\n%-----------------------------------------------------------------------\n\n\n%------------------------------------------------------------------------\n% Exercice 4\n%------------------------------------------------------------------------\n\nu:=1cm;\nfigure (-20u,-20u,20u,20u);\n\n\ncircleit.aa(TEX(\"{\\large $A$}\"));  %d\u00e9finition des noeuds\ncircleit.bb(TEX(\"{\\large $B$}\"));\ncircleit.cc(TEX(\"{\\large $C$}\"));\ncircleit.dd(TEX(\"{\\large $D$}\"));\ncircleit.ee(TEX(\"{\\large $E$}\"));\ncircleit.ss(TEX(\"{\\large $S$}\"));\ncircleit.gg(TEX(\"{\\large $G$}\"));\n\n\n\n\naa.c-bb.c=(0,6u);                % positionnement relatif des noeuds\ncc.c-bb.c=(6u,0);\ndd.c-aa.c=(6u,0);\nee.c-bb.c=(-3u,3u);\ngg.c-cc.c=(3u,u);\nss.c-dd.c=(3u,-u);\n\n\n\ndrawboxed(aa,bb,cc,dd,ee,ss,gg) ;  %dessin des noeuds.\n\n\n\nlabel(TEX(\"\\colorbox{white}{7}\"), areted(bb,ee,0.5)) ;  %dessin des ar\u00eates\nlabel(TEX(\"\\colorbox{white}{2}\"), areted(bb,aa,0.5)) ;\nlabel(TEX(\"\\colorbox{white}{6}\"), areted(bb,dd,0.4)) ;\nlabel(TEX(\"\\colorbox{white}{5}\"), areted(bb,cc,0.5)) ;\n\nlabel(TEX(\"\\colorbox{white}{8}\"), areted(cc,aa,0.6)) ;\nlabel(TEX(\"\\colorbox{white}{3}\"), areted(cc,dd,0.5)) ;\nlabel(TEX(\"\\colorbox{white}{8}\"), areted(cc,ss,0.5)) ;\nlabel(TEX(\"\\colorbox{white}{4}\"), areted(cc,gg,0.5)) ;\n\nlabel(TEX(\"\\colorbox{white}{4}\"), areted(aa,ee,0.5)) ;\nlabel(TEX(\"\\colorbox{white}{9}\"), areted(aa,dd,0.5)) ;\n\nlabel(TEX(\"\\colorbox{white}{8}\"), areted(dd,ss,0.5)) ;\nlabel(TEX(\"\\colorbox{white}{5}\"), areted(dd,gg,0.5)) ;\n\nlabel(TEX(\"\\colorbox{white}{5}\"), areted(ss,gg,0.5)) ;\n\n\n\nfin;\n%-----------------------------------------------------------------------\n\n\n%------------------------------------------------------------------------\n% Exercice 5\n%------------------------------------------------------------------------\n\nu:=1cm;\nfigure (-20u,-20u,20u,20u);\n\n\ncircleit.aa(TEX(\"{\\large $A$}\"));  %d\u00e9finition des noeuds\ncircleit.bb(TEX(\"{\\large $B$}\"));\ncircleit.cc(TEX(\"{\\large $C$}\"));\ncircleit.dd(TEX(\"{\\large $D$}\"));\ncircleit.ee(TEX(\"{\\large $E$}\"));\ncircleit.ff(TEX(\"{\\large $F$}\"));\ncircleit.gg(TEX(\"{\\large $G$}\"));\n\n\n\n\nee.c-dd.c=(-3u,2u);                % positionnement relatif des noeuds\naa.c-dd.c=(-u,5u);\nff.c-dd.c=(2u,3u);\nbb.c-aa.c=(5u,u);\ncc.c-dd.c=(4u,u);\n\n\n\n\ndrawboxed(aa,bb,cc,dd,ee,ff) ;  %dessin des noeuds.\n\n\n\nlabel(TEX(\"\\colorbox{white}{4}\"), flechec(aa,ee,240,0.5)) ;  %dessin des ar\u00eates\n\nlabel(TEX(\"\\colorbox{white}{2}\"), flechec(bb,aa,200,0.5)) ;\nlabel(TEX(\"\\colorbox{white}{3}\"), flechec(bb,ff,200,0.5)) ;\n\nlabel(TEX(\"\\colorbox{white}{9}\"), flechec(cc,bb,120,0.5)) ;\nlabel(TEX(\"\\colorbox{white}{6}\"), flechec(cc,ff,100,0.5)) ;\nlabel(TEX(\"\\colorbox{white}{2}\"), flechec(cc,dd,170,0.5)) ;\n\nlabel(TEX(\"\\colorbox{white}{9}\"), flechec(dd,aa,90,0.5)) ;\nlabel(TEX(\"\\colorbox{white}{2}\"), flechec(dd,cc,0,0.5)) ;\nlabel(TEX(\"\\colorbox{white}{3}\"), flechec(dd,ff,30,0.5)) ;\n\nlabel(TEX(\"\\colorbox{white}{4}\"), flechec(ee,dd,0,0.5)) ;\n\nlabel(TEX(\"\\colorbox{white}{6}\"), flechec(ff,aa,130,0.5)) ;\nlabel(TEX(\"\\colorbox{white}{3}\"), flechec(ff,bb,50,0.5)) ;\nlabel(TEX(\"\\colorbox{white}{6}\"), flechec(ff,cc,280,0.5)) ;\n\n\n\nfin;\n%-----------------------------------------------------------------------\n\n\n%------------------------------------------------------------------------\n% Exercice 6\n%------------------------------------------------------------------------\n\nu:=1cm;\nfigure (-20u,-20u,20u,20u);\n\n\ncircleit.bb(TEX(\"{\\large $B$}\"));  %d\u00e9finition des noeuds\ncircleit.cc(TEX(\"{\\large $C$}\"));\ncircleit.dd(TEX(\"{\\large $D$}\"));\ncircleit.ll(TEX(\"{\\large $L$}\"));\ncircleit.mm(TEX(\"{\\large $M$}\"));\ncircleit.kk(TEX(\"{\\large $P$}\"));\n\n\n\n\nkk.c-mm.c=(-3u,2u);                % positionnement relatif des noeuds\nbb.c-mm.c=(u,6u);\ndd.c-bb.c=(4u,2u);\ncc.c-mm.c=(3u,3u);\nll.c-mm.c=(5u,u);\n\n\n\n\ndrawboxed(bb,cc,dd,ll,mm,kk) ;  %dessin des noeuds.\n\n\n\nlabel(TEX(\"\\colorbox{white}{4}\"), doubleflechec(mm,kk,160,0.5)) ;  %dessin des ar\u00eates\nlabel(TEX(\"\\colorbox{white}{5}\"), doubleflechec(mm,bb,100,0.5)) ;\nlabel(TEX(\"\\colorbox{white}{9}\"), doubleflechec(mm,cc,50,0.5)) ;\n\nlabel(TEX(\"\\colorbox{white}{10}\"), flechec(ll,mm,180,0.5)) ;\nlabel(TEX(\"\\colorbox{white}{4}\"), doubleflechec(ll,cc,130,0.5)) ;\nlabel(TEX(\"\\colorbox{white}{11}\"), doubleflechec(ll,dd,100,0.5)) ;\n\nlabel(TEX(\"\\colorbox{white}{3}\"), flechec(cc,bb,120,0.5)) ;\n\nlabel(TEX(\"\\colorbox{white}{5}\"), flechec(dd,cc,250,0.5)) ;\nlabel(TEX(\"\\colorbox{white}{9}\"), flechec(dd,bb,190,0.5)) ;\n\nlabel(TEX(\"\\colorbox{white}{10}\"), flechec(bb,kk,210,0.5)) ;\n\nfin;\n%-----------------------------------------------------------------------\n\n\n\n%-----------------------------------------------------------------------\nend ;\n<\/pre>\n","protected":false},"excerpt":{"rendered":"
Les exemples suivants utilisent des fichiers de configuration disponibles ici : – dlf_tex.mp – dlf_boxes.mp Exemple 1 Exemple 2 Exemple 3 Exemple 4 Exemple 5 Exemple 6 Voici les sources…<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":2420,"menu_order":1,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-124","page","type-page","status-publish","hentry"],"yoast_head":"\nExemples de graphes avec Metapost - Maths & Num\u00e9rique<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/wordpress.callac.online\/index.php\/edition-mathematique\/metapost\/les-graphes\/exemples-de-graphes-avec-metapost\/\" \/>\n<meta property=\"og:locale\" content=\"fr_FR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Exemples de graphes avec Metapost - Maths & Num\u00e9rique\" \/>\n<meta property=\"og:description\" content=\"Les exemples suivants utilisent des fichiers de configuration disponibles ici : – dlf_tex.mp – dlf_boxes.mp Exemple 1 Exemple 2 Exemple 3 Exemple 4 Exemple 5 Exemple 6 Voici les sources…\" \/>\n<meta property=\"og:url\" content=\"https:\/\/wordpress.callac.online\/index.php\/edition-mathematique\/metapost\/les-graphes\/exemples-de-graphes-avec-metapost\/\" \/>\n<meta property=\"og:site_name\" content=\"Maths & Num\u00e9rique\" \/>\n<meta property=\"article:modified_time\" content=\"2023-10-14T18:12:48+00:00\" \/>\n<meta property=\"og:image\" content=\"http:\/\/wordpress.callac.online\/wp-content\/uploads\/2007\/10\/jpg_graphe1.jpg\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Dur\u00e9e de lecture estim\u00e9e\" \/>\n\t<meta name=\"twitter:data1\" content=\"5 minutes\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\\\/\\\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\\\/\\\/wordpress.callac.online\\\/index.php\\\/edition-mathematique\\\/metapost\\\/les-graphes\\\/exemples-de-graphes-avec-metapost\\\/\",\"url\":\"https:\\\/\\\/wordpress.callac.online\\\/index.php\\\/edition-mathematique\\\/metapost\\\/les-graphes\\\/exemples-de-graphes-avec-metapost\\\/\",\"name\":\"Exemples de graphes avec Metapost - 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