# graph hole

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**graph antihole**— noun The complement of a graph hole … Wiktionary**Cycle (graph theory)**— In graph theory, the term cycle may refer to a closed path. If repeated vertices are allowed, it is more often called a closed walk. If the path is a simple path, with no repeated vertices or edges other than the starting and ending vertices, it… … Wikipedia**Even-hole-free graph**— In the mathematical area of graph theory, a graph is even hole free if it contains no induced cycle with an even number of vertices. Every even hole free graph contains a bisimplicial vertex. [citation last1 = Addario Berry | first1 = Louigi… … Wikipedia**Chordal graph**— A cycle (black) with two chords (green). As for this part, the graph is chordal. However, removing one green edge would result in a non chordal graph. Indeed, the other green edge with three black edges would form a cycle of length four with no… … Wikipedia**Perfect graph**— The Paley graph of order 9, colored with three colors and showing a clique of three vertices. In this graph and each of its induced subgraphs the chromatic number equals the clique number, so it is a perfect graph. In graph theory, a perfect… … Wikipedia**Claw-free graph**— A claw In graph theory, an area of mathematics, a claw free graph is a graph that does not have a claw as an induced subgraph. A claw is another name for the complete bipartite graph K1,3 (that is, a star graph with three edges, three leaves, and … Wikipedia**Rook's graph**— infobox graph name = Rook s graph image caption = 8x8 Rook s graph vertices = nm edges = nm ( n + m )/2 nm diameter = 2 chromatic number = max( n , m ) chromatic index = girth = 3 (if max( n , m ) ≥ 3) properties = regular, vertex transitive,… … Wikipedia**Induced path**— An induced path of length four in a cube. Finding the longest induced path in a hypercube is known as the snake in the box problem. In the mathematical area of graph theory, an induced path in an undirected graph G is a path that is an induced… … Wikipedia**cosmos**— /koz meuhs, mohs/, n., pl. cosmos, cosmoses for 2, 4. 1. the world or universe regarded as an orderly, harmonious system. 2. a complete, orderly, harmonious system. 3. order; harmony. 4. any composite plant of the genus Cosmos, of tropical… … Universalium**Causal set theory bibliography**— Main article: Causal Sets This Causal Set Theory Bibliography is intended to aid causal set research. It gathers together academic papers, books, talks and PhD theses related to causal set theory and is intended to help readers find references… … Wikipedia