In graph theory, toughness is a measure of the connectivity of a graph. A graph G is said to be t-tough for a given real number t if, for every integer...

In graph theory, a Harris graph is defined as an Eulerian, tough, non-Hamiltonian graph. Harris graphs were introduced in 2013 when, at the University...

concept of graph toughness, a measure of graph connectivity that is closely connected to the existence of Hamiltonian cycles. A graph is t-tough if, for...

matching, and in the definition of graph toughness. It is straightforward to compute the components of a finite graph in linear time (in terms of the numbers...

analogous to graph toughness which is defined similarly for vertex removal. The strength σ ( G ) {\displaystyle \sigma (G)} of an undirected simple graph G = (V...

Appendix:Glossary of graph theory in Wiktionary, the free dictionary. This is a glossary of graph theory. Graph theory is the study of graphs, systems of nodes...

such as graph density, toughness, forbidden subgraphs and distance among other parameters. Dirac and Ore's theorems basically state that a graph is Hamiltonian...

ingenuity of other graph-theorists". Fleischner's original proof was complicated. Václav Chvátal, in the work in which he invented graph toughness, observed that...

and the formula can be seen as a generalization of Tutte's theorem. Graph toughness, a problem of creating many connected components by removing a small...

1-supertough is a variation of graph toughness; it means that, for every set S {\displaystyle S} of more than one vertex of the graph, the removal of S {\displaystyle...

Goldner–Harary graph provides a counterexample. If an Apollonian network has toughness greater than one (meaning that removing any set of vertices from the graph leaves...

whose average degree is maximum, and to find the edge toughness of a graph (a variant of graph toughness involving the deletion of edges in place of vertices)...

toughness conjecture, that there is a number t such that every t-tough graph is Hamiltonian The cycle double cover conjecture: every bridgeless graph...

(2006). "Graph isomorphism is in SPP". Information and Computation. 204 (5): 835–852. doi:10.1016/j.ic.2006.02.002. Schöning, Uwe (1988). "Graph isomorphism...

high toughness that is several times higher than A2 with the same level of wear resistance. CPM 3V, a proprietary steel with a very high toughness of less...

Given such risks, the Irish Data Protection Commission (DPC) has asked for tougher action to ensure the glasses comply with Europe's General Data Protection...

proportion to the toughness of the material. This observation led to considering the opening at the crack tip as a measure of fracture toughness. The COD was...

A nut is a fruit consisting of a hard or tough nutshell protecting a kernel which is usually edible. In general usage and in a culinary sense, many dry...

in this case. This means that it is not possible to distinguish from the graph - though it is from the dataset - whether a student actually scored zero...

Retrieved 23 August 2024. "Neeraj Chopra's javelin records, a telling graph". Olympics. Archived from the original on 16 August 2024. Retrieved 29 August...

July 2017. Retrieved 30 June 2017. Staff writer(s). "USCF Ratings History Graph for 12056150: Peter Thiel". United States Chess Federation. Archived from...

2012). "Blur Talks: "The Girl with the Dragon Tattoo" Titles". MotionGrapher. Archived from the original on February 7, 2013. Retrieved January 16,...

June 2007. Retrieved 7 June 2012. "– World Football Elo Ratings: Rating Graph". Elo Ratings. Archived from the original on 9 July 2021. Retrieved 11 September...

original on November 24, 2020. Retrieved February 8, 2020. "Koyfin | Advanced graphing and analytical tools for investors". koyfin.com. "Lockheed Martin". Fortune...

of the European Union (EU) and its predecessors since the 1960s. After tough negotiations, the Maastricht Treaty entered into force in 1993 with the...

original (PDF) on 3 November 2022. Retrieved 24 October 2022. "Charts & Graphs Archive". Nilson Report. Archived from the original on 12 May 2023. Retrieved...

Caroline (October 16, 2011). "A Thirtysomething Billionaire Couple Take on Tough Issues Via Giving". Chronicle of Philanthropy. Barnum, Matt (2020-02-21)...

This graph was using the legacy Graph extension, which is no longer supported. It needs to be converted to the new Chart extension....

A. J.; Wragg, D.; Jayaraman, S.; et al. (17 February 2022). "A cattle graph genome incorporating global breed diversity". Nature Communications. 13...

covered mainly by public and to a smaller extent by private insurance. Their graph is reproduced below as Figure 1: German Population Enrolled in Health Insurance...