SNT

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graphes.svg (57036B)


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    517    style="font-weight:bold;font-size:4.23333px"
    518    id="tspan32">Graphe :</tspan> ensemble de<tspan
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    520    id="tspan50"> <tspan
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    524    id="tspan60">arêtes</tspan>.</tspan><tspan
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    535    style="font-weight:bold;font-size:4.23333px"
    536    id="tspan24">Sommets :</tspan> les points du graphe, représentent les <tspan
    537    style="font-style:italic;font-weight:bold;font-size:4.23333px"
    538    id="tspan64">utilisateurs</tspan></tspan><tspan
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    542          style="font-size:4.23333px;stroke-width:0.264583"
    543          id="tspan46">dans un réseau social par exemple.</tspan><tspan
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    554    style="font-weight:bold;font-size:4.23333px"
    555    id="tspan48">Arêtes :</tspan> les <tspan
    556    style="font-style:italic;font-weight:bold;font-size:4.23333px"
    557    id="tspan66">liens</tspan> entre les sommets, représentent les <tspan
    558    style="font-style:italic;font-weight:bold;font-size:4.23333px"
    559    id="tspan78">relations</tspan></tspan><tspan
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    562          y="81.174446"
    563          style="font-size:4.23333px;stroke-width:0.264583"
    564          id="tspan76">entre les utilisateurs d’un réseau social.</tspan><tspan
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    570          sodipodi:role="line"
    571          x="16.391392"
    572          y="95.285545"
    573          style="font-size:4.23333px;stroke-width:0.264583"
    574          id="tspan1010">Il y a 2 types d'arêtes :</tspan><tspan
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    578          style="font-size:4.23333px;stroke-width:0.264583"
    579          id="tspan1012">- dans les <tspan
    580    style="font-weight:bold"
    581    id="tspan1020">graphes orientés</tspan> les arêtes ont un <tspan
    582    style="font-weight:bold"
    583    id="tspan1022">sens</tspan>,</tspan><tspan
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    586          y="109.39664"
    587          style="font-size:4.23333px;stroke-width:0.264583"
    588          id="tspan1014">  ça correspond par exemple au fait d'être <tspan
    589    style="font-weight:bold"
    590    id="tspan1032">abonné</tspan> à</tspan><tspan
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    593          y="116.45219"
    594          style="font-size:4.23333px;stroke-width:0.264583"
    595          id="tspan1018">  un compte sur un réseau social</tspan><tspan
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    603          y="130.56329"
    604          style="font-size:4.23333px;stroke-width:0.264583"
    605          id="tspan1026">- dans les <tspan
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    612          id="tspan1028">  forcement dans les 2 sens, comme quand 2 personnes</tspan><tspan
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    617          id="tspan1030">  sont <tspan
    618    style="font-weight:bold"
    619    id="tspan1036">amies</tspan> sur un réseau social</tspan><tspan
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    629          id="tspan1468"><tspan
    630    style="font-weight:bold"
    631    id="tspan1470">Chemin</tspan> : suite de sommets chacun relié au suivant par une arête.</tspan><tspan
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    634          y="165.84105"
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    641          id="tspan1654"><tspan
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    643    id="tspan1656">Distance</tspan> entre 2 sommets : nombre d'arêtes du plus court</tspan><tspan
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    646          y="179.95215"
    647          style="font-size:4.23333px;stroke-width:0.264583"
    648          id="tspan1658">chemin entre ces 2 sommets.</tspan><tspan
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    651          y="187.00771"
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    657          style="font-size:4.23333px;stroke-width:0.264583"
    658          id="tspan1838"><tspan
    659    style="font-weight:bold"
    660    id="tspan1840">Diamètre</tspan> d'un graphe : la distance entre les 2 sommets les plus éloignés du graphe</tspan><tspan
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    663          y="201.1188"
    664          style="font-size:4.23333px;stroke-width:0.264583"
    665          id="tspan1846">(plus grande distance entre 2 sommets du graphe).</tspan><tspan
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    674          style="font-size:4.23333px;stroke-width:0.264583"
    675          id="tspan1850"><tspan
    676    style="font-weight:bold"
    677    id="tspan1852">Centre</tspan> d'un graphe : le sommet qui a une distance minimale avec tous les autres</tspan><tspan
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    680          y="222.28545"
    681          style="font-size:4.23333px;stroke-width:0.264583"
    682          id="tspan1854">sommets du graphe (il peut y avoir plusieurs centres).</tspan><tspan
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    686          style="font-size:4.23333px;stroke-width:0.264583"
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    692          id="tspan1858"><tspan
    693    style="font-weight:bold"
    694    id="tspan1860">Rayon</tspan> d'un graphe : distance entre le centre d'un graphe et le sommet le plus éloigné</tspan><tspan
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    789          style="font-size:8.46667px;text-align:center;text-anchor:middle;stroke-width:0.264583;font-style:italic">Comment représenter les réseaux sociaux ?</tspan><tspan
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    793          style="font-size:8.46667px;text-align:center;text-anchor:middle;stroke-width:0.264583;font-weight:bold"
    794          id="tspan965">Les graphes</tspan></text>
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