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                <term xml:lang="en">distance hereditary graphs</term>
                <term xml:lang="en">operad.</term>
                <term xml:lang="en">chord diagram</term>
                <term xml:lang="en">combinatorics</term>
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              <p>The purpose of this paper is to describe the topology of real analytic planar curves in the neighborhood of a singular point. Locally, such a curve consists of a number of branches that intersect a small circle centered on the singularity at two points. The local topology is described by a chord diagram: an even number of points on a circle, associated two by two. We show that most chord diagrams do not come from singularities. When this is the case, we call them analytical diagrams. First, we propose a recursive description of analytical diagrams. Then we characterize these analytical diagrams as those that do not contain as subdiagrams those which belong to a collection that we describe explicitly.</p>
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              <p>Le but de cet article est de décrire la topologie des courbes analytiques réelles planes au voisinage d’un point singulier. Localement, une telle courbe est constituée d’un certain nombre de branches qui coupent un petit cercle centré sur la singularité en deux points. La topologie locale est décrite par un diagramme de cordes : un nombre pair de points sur un cercle, associés deux par deux. Nous montrons que la plupart des diagrammes de cordes ne proviennent pas de singularités. Quand c’est le cas nous les qualifions d’analytiques. Nous proposons d’abord une description récursive des diagrammes analytiques. Puis nous caractérisons ces diagrammes analytiques comme étant ceux ne contenant pas comme sous-diagramme ceux qui appartiennent à une famille que nous décrivons explicitement</p>
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