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...

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...

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...

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...

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...

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...

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...

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...

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)...

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...

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

the original on 9 February 2019, retrieved 8 May 2019 "Eurostat – Tables, Graphs and Maps Interface (TGM) table". ec.europa.eu. Archived from the original...

hockey player used a DW-5200C G-Shock as a hockey puck to demonstrate the toughness of the watch. The commercial gained negative publicity and Casio was accused...

original on 20 July 2011. Retrieved 16 October 2010. "Eurostat – Tables, Graphs and Maps Interface (TGM) table". European Commission. Archived from the...

likely outcome, and the material can become brittle. Improving material toughness is, therefore, a balancing act. Naturally brittle materials, such as glass...

cigarette lighter Casio FX-700P programmable calculator fx-7000G, the first graphing calculator FX CP-400 Classpad colour touchscreen calculator PB-110 Databank...

Rankine Irwin. This important theory is also known as numeric conversion of toughness of material in the case of crack existence. A material's strength depends...

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...

achieve better performance by visualizing all processes on a graph, and trying to reduce the graph making maximum use of parallelism, and making "chains" of...

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...

counties 1988 popular vote by state 1988 popular vote by states (with bar graphs) Campaign commercials from the 1988 election Booknotes interview with Jack...

critics. Nikhat Kazmi labelled the film "a milestone in Chopra's career graph", complimenting her "exquisite command over a complex character that is...

Injured List". Retrieved September 17, 2022. "Splits Leaderboards | FanGraphs". www.fangraphs.com. "2023 MLB Arbitration Tracker". MLBTradeRumors. Retrieved...

difference between clusters. Other methods are based on estimated density and graph connectivity. A special type of unsupervised learning called, self-supervised...

member of the Wardens who also despises Negan. Marcus Lewis as Duncan, a tough member of the Wardens who also despises Negan. Ritchie Coster as Pope, the...

order to visually express this argument, Nolan came up with a two-axis graph. One axis was for economic freedom and the other was for personal freedom...

Retrieved 23 April 2020. Ochman, Sophie; Roser, Max (9 November 2017). "Polio (graph "Reported paralytic polio cases and deaths in the United States since 1910")"...

and Perfect Game also projected Crews to be selected first overall. FanGraphs ranked him as the third-best prospect in the draft. Crews was selected second...