the mathematical area of graph theory, an induced path in an undirected graph G is a path that is an induced subgraph of G. That is, it is a sequence of...

each pair of vertices. A path such that no graph edges connect two nonconsecutive path vertices is called an induced path. A path that includes every vertex...

unambiguous) the induced subgraph of S {\displaystyle S} . Important types of induced subgraphs include the following. Induced paths are induced subgraphs that...

innovation Induced character Induced coma Induced menopause Induced metric Induced path Induced topology Induce (musician), American musician Labor induction...

In the mathematical field of graph theory, a Hamiltonian path (or traceable path) is a path in an undirected or directed graph that visits each vertex...

vertices which are endpoints of the matching edges (it is an induced subgraph). An induced matching can also be described as an independent set in the...

induced paths between the same two vertices have the same length, a weakening of the characterization of block graphs as having at most one induced path...

called finding the longest possible induced path in a hypercube; it can be viewed as a special case of the induced subgraph isomorphism problem. There...

graph is a graph in which every two induced paths between the same two vertices have the same parity: either both paths have odd length, or both have even...

Equivalently, a graph is a cluster graph if and only if it has no three-vertex induced path; for this reason, the cluster graphs are also called P3-free graphs....

vertices of G, such that every induced subgraph of G is optimally colored by the greedy algorithm using the subsequence of π induced by the vertices of the subgraph...

any six-vertex induced paths. These properties are close to being enough to characterize these graphs: the Grötzsch graph is an induced subgraph of the...

endpoints in the subset. Special cases include induced paths and induced cycles, induced subgraphs that are paths or cycles. inductive Synonym for degenerate...

relation between longest paths and graph coloring Longest uncrossed knight's path Snake-in-the-box, the longest induced path in a hypercube graph Price's...

that these are the only forbidden induced subgraphs for the perfect graphs: a graph is perfect if and only if its induced subgraphs include neither an odd...

of the given graph. For related results involving shortest paths instead of induced paths see Chepoi (1986) and Bandelt & Pesch (1989). Clarkson et al...

Hamiltonian path problem, directed and undirected.: GT37, GT38, GT39  Induced subgraph isomorphism problem Graph intersection number: GT59  Longest path problem: ND29 ...

The Shining Path (Spanish: Sendero Luminoso, SL), self-named the Communist Party of Peru (Partido Comunista del Perú, abbr. PCP), is a far-left political...

subgraphs. The snake-in-the-box problem: what is the longest possible induced path in an n {\displaystyle n} -dimensional hypercube graph? Sumner's conjecture:...

nontrivial induced subgraph has at least two vertices with the same neighbourhoods. A cograph is a graph in which every connected induced subgraph has...

may be decomposed into induced subgraphs called "blocks", by replacing one of the two subsets of vertices by a shortest path within that subset that...

which the distances in any connected induced subgraph are the same as they are in the original graph. Thus, any induced subgraph inherits the distances of...

forbidden induced subgraphs. A cograph is a graph with no induced path on four vertices, P4, and a threshold graph is a graph with no induced P4, C4 nor...

induced by two-dimensional Euclidean space. A path-connected space is a stronger notion of connectedness, requiring the structure of a path. A path from...

model of supply and demand. In transportation planning, induced demand, also called "induced traffic" or consumption of road capacity, has become important...

thesis was titled Bounding the Number of Graphs Containing Very Long Induced Paths. He completed a doctorate at the University of California, San Diego...

vertices into two subsets, such that the induced subgraph formed by one of the two subsets is disconnected and the induced subgraph formed by the other subset...

Induced pluripotent stem cells (also known as iPS cells or iPSCs) are a type of pluripotent stem cell that can be generated directly from a somatic cell...

horoballs, and where Ω {\displaystyle \Omega } is equipped with the induced path metric. A. S. Švarc, A volume invariant of coverings (in Russian), Doklady...

characterization of the cographs (they are the graphs with no four-vertex induced path) corresponds to the two four-element forbidden patterns of the separable...