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A universal graph for a family F of graphs can also refer to a member of a sequence of finite graphs that contains all graphs in F; for instance, every finite tree is a subgraph of a sufficiently large hypercube graph [5] so a hypercube can be said to be a universal graph for trees. However it is not the smallest such graph: it is known that ...
In graph theory, a universal vertex is a vertex of an undirected graph that is adjacent to all other vertices of the graph. It may also be called a dominating vertex, as it forms a one-element dominating set in the graph. A graph that contains a universal vertex may be called a cone, and its universal vertex may be called the apex of the cone. [1]
Sumner's conjecture (also called Sumner's universal tournament conjecture) is a conjecture in extremal graph theory on oriented trees in tournaments. It states that every orientation of every n {\displaystyle n} -vertex tree is a subgraph of every ( 2 n − 2 ) {\displaystyle (2n-2)} -vertex tournament. [ 1 ]
See Families of sets for related families of non-graph combinatorial objects, graphs for individual graphs and graph families parametrized by a small number of numeric parameters, and graph theory for more general information about graph theory. See also Category:Graph operations for graphs distinguished for the specific way of their ...
Download as PDF; Printable version; In other projects Wikimedia Commons; Wikibooks; ... In mathematics and computer science, graph theory is the study of graphs, ...
This notion has made it possible to use the methods of graph theory in universal algebra and several other areas of discrete mathematics and computer science.Graph algebras have been used, for example, in constructions concerning dualities, [2] equational theories, [3] flatness, [4] groupoid rings, [5] topologies, [6] varieties, [7] finite-state machines, [8] [9] tree languages and tree ...
Reinhard Diestel (born 1959) [1] is a German mathematician specializing in graph theory, including the interplay among graph minors, matroid theory, tree decomposition, and infinite graphs. He holds the chair of discrete mathematics at the University of Hamburg .
Download as PDF; Printable version; ... Blossom tree (graph theory) Book (graph theory) ... Universal point set; Upward planar drawing; W. Wagner's theorem;