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2. Line drawing algorithm - Wikipedia

   en.wikipedia.org/wiki/Line_drawing_algorithm

   In computer graphics, a line drawing algorithm is an algorithm for approximating a line segment on discrete graphical media, such as pixel -based displays and printers. On such media, line drawing requires an approximation (in nontrivial cases). Basic algorithms rasterize lines in one color.

3. Strongly connected component - Wikipedia

   en.wikipedia.org/wiki/Strongly_connected_component

   Definitions. A directed graph is called strongly connected if there is a path in each direction between each pair of vertices of the graph. That is, a path exists from the first vertex in the pair to the second, and another path exists from the second vertex to the first. In a directed graph G that may not itself be strongly connected, a pair ...

4. Graph drawing - Wikipedia

   en.wikipedia.org/wiki/Graph_drawing

   Graph drawing. Graphic representation of a minute fraction of the WWW, demonstrating hyperlinks. Graph drawing is an area of mathematics and computer science combining methods from geometric graph theory and information visualization to derive two-dimensional depictions of graphs arising from applications such as social network analysis ...

5. Depth-first search - Wikipedia

   en.wikipedia.org/wiki/Depth-first_search

   no (does not generally find shortest paths) Depth-first search (DFS) is an algorithm for traversing or searching tree or graph data structures. The algorithm starts at the root node (selecting some arbitrary node as the root node in the case of a graph) and explores as far as possible along each branch before backtracking.

6. Algebraic graph theory - Wikipedia

   en.wikipedia.org/wiki/Algebraic_graph_theory

   Algebraic graph theory is a branch of mathematics in which algebraic methods are applied to problems about graphs. This is in contrast to geometric, combinatoric, or algorithmic approaches. There are three main branches of algebraic graph theory, involving the use of linear algebra, the use of group theory, and the study of graph invariants.

7. Graph (discrete mathematics) - Wikipedia

   en.wikipedia.org/wiki/Graph_(discrete_mathematics)

   Graph (discrete mathematics) A graph with six vertices and seven edges. In discrete mathematics, particularly in graph theory, a graph is a structure consisting of a set of objects where some pairs of the objects are in some sense "related". The objects are represented by abstractions called vertices (also called nodes or points) and each of ...

8. List of unsolved problems in mathematics - Wikipedia

   en.wikipedia.org/wiki/List_of_unsolved_problems...

   Many mathematical problems have been stated but not yet solved. These problems come from many areas of mathematics, such as theoretical physics, computer science, algebra, analysis, combinatorics, algebraic, differential, discrete and Euclidean geometries, graph theory, group theory, model theory, number theory, set theory, Ramsey theory, dynamical systems, and partial differential equations.

9. Handshaking lemma - Wikipedia

   en.wikipedia.org/wiki/Handshaking_lemma

   In graph theory, the handshaking lemma is the statement that, in every finite undirected graph, the number of vertices that touch an odd number of edges is even. For example, if there is a party of people who shake hands, the number of people who shake an odd number of other people's hands is even. [1] The handshaking lemma is a consequence of ...