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  2. Boundary (graph theory) - Wikipedia

    en.wikipedia.org/wiki/Boundary_(graph_theory)

    In graph theory, the outer boundary of a subset S of the vertices of a graph G is the set of vertices in G that are adjacent to vertices in S, but not in S themselves. The inner boundary is the set of vertices in S that have a neighbor outside S.

  3. Cycle (graph theory) - Wikipedia

    en.wikipedia.org/wiki/Cycle_(graph_theory)

    In graph theory, a cycle in a graph is a non-empty trail in which only the first and last vertices are equal. A directed cycle in a directed graph is a non-empty directed trail in which only the first and last vertices are equal. A graph without cycles is called an acyclic graph. A directed graph without directed cycles is called a directed ...

  4. Vertex (graph theory) - Wikipedia

    en.wikipedia.org/wiki/Vertex_(graph_theory)

    A graph with 6 vertices and 7 edges where the vertex number 6 on the far-left is a leaf vertex or a pendant vertex. In discrete mathematics, and more specifically in graph theory, a vertex (plural vertices) or node is the fundamental unit of which graphs are formed: an undirected graph consists of a set of vertices and a set of edges (unordered pairs of vertices), while a directed graph ...

  5. Wavefront .obj file - Wikipedia

    en.wikipedia.org/wiki/Wavefront_.obj_file

    The OBJ file format is a simple data-format that represents 3D geometry alone – namely, the position of each vertex, the UV position of each texture coordinate vertex, vertex normals, and the faces that make each polygon defined as a list of vertices, and texture vertices. Vertices are stored in a counter-clockwise order by default, making ...

  6. Vertex (computer graphics) - Wikipedia

    en.wikipedia.org/wiki/Vertex_(computer_graphics)

    A vertex (plural vertices) in computer graphics is a data structure that describes certain attributes, like the position of a point in 2D or 3D space, or multiple points on a surface. Application to 3D models

  7. Directed graph - Wikipedia

    en.wikipedia.org/wiki/Directed_graph

    In formal terms, a directed graph is an ordered pair G = (V, A) where [1]. V is a set whose elements are called vertices, nodes, or points;; A is a set of ordered pairs of vertices, called arcs, directed edges (sometimes simply edges with the corresponding set named E instead of A), arrows, or directed lines.

  8. Regular graph - Wikipedia

    en.wikipedia.org/wiki/Regular_graph

    In graph theory, a regular graph is a graph where each vertex has the same number of neighbors; i.e. every vertex has the same degree or valency. A regular directed graph must also satisfy the stronger condition that the indegree and outdegree of each internal vertex are equal to each other. [1]

  9. PLY (file format) - Wikipedia

    en.wikipedia.org/wiki/PLY_(file_format)

    The file starts with the header which defines a file in ASCII format. There are 14 vertices (6 faces * 4 vertices - 10 vertices saved due to merging) and 6 faces in total. After the header, the vertex and face data is listed. The vertex list contains position (x,y,z), normals (nx,ny,nz) and texture coordinates (s,t) for each of the 14 vertices.