Web2 feb. 2024 · In other words, an induced path is a chordless path, where by the term chord of a pathP, we mean an edge between two nonadjacent vertices of P. The study of induced paths in a graph assume an importance because … WebThe induced path convexity, betweenness and svelte graphs — Erasmus University Rotterdam Home Research output Researchers Research units Activities Prizes The …
Induced path - Wikipedia
Web21 nov. 2024 · We consider the induced variant of k - Disjoint Paths. We say that paths P^1,\ldots ,P^k in a graph G= (V,E) are mutually induced if any two distinct P^i and P^j have neither common vertices nor adjacent vertices, that is, if i\ne j then V (P^i)\cap V (P^j)=\emptyset and uv\notin E for every u\in V (P^i) and v\in V (P^j). Web24 aug. 2024 · 1 Introduction. We use standard notation and terminology, and denote the chromatic number and the clique number of a graph G by \chi (G) and \omega (G), … simple red necklace
Induced path factors of regular graphs - Wiley Online Library
WebInduced pathsare induced subgraphs that are paths. The shortest pathbetween any two vertices in an unweighted graph is always an induced path, because any additional … In 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 vertices in G such that each two adjacent vertices in the sequence are connected by an edge in G, and each two nonadjacent vertices in the sequence are not … Meer weergeven The illustration shows a cube, a graph with eight vertices and twelve edges, and an induced path of length four in this graph. A straightforward case analysis shows that there can be no longer induced path in the cube, … Meer weergeven Many important graph families can be characterized in terms of the induced paths or cycles of the graphs in the family. • Trivially, … Meer weergeven Atomic cycles are a generalization of chordless cycles, that contain no n-chords. Given some cycle, an n-chord is defined as a path of … Meer weergeven It is NP-complete to determine, for a graph G and parameter k, whether the graph has an induced path of length at least k. Garey & Johnson (1979) credit this result to an unpublished communication of Mihalis Yannakakis. However, this problem can be solved in … Meer weergeven Web9 apr. 2024 · Moreover, ORI can also promote the osteogenic differentiation pathway and inhibit adipogenic differentiation of BMSCs to promote bone formation. In conclusion, our results revealed that ORI, as a potential therapeutic drug for osteoporosis, could protect against TAA-induced bone loss and TAA-inhibited bone formation. simple red my love