Graph theory is also used to study molecules in chemistry and physics.

Graph theory is also widely used in sociology as a way, for example, to measure actors ' prestige or to explore diffusion mechanisms, notably through the use of social network analysis software.

* Graph theory tutorial

simple: Graph theory

* Mathematics: Approximation theory — Arakelov theory — Asymptotic theory — Bifurcation theory — Catastrophe theory — Category theory — Chaos theory — Choquet theory — Coding theory — Combinatorial game theory — Computability theory — Computational complexity theory — Deformation theory — Dimension theory — Ergodic theory — Field theory — Galois theory — Game theory — Graph theory — Group theory — Hodge theory — Homology theory — Homotopy theory — Ideal theory — Intersection theory — Invariant theory — Iwasawa theory — K-theory — KK-theory — Knot theory — L-theory — Lie theory — Littlewood – Paley theory — Matrix theory — Measure theory — Model theory — Morse theory — Nevanlinna theory — Number theory — Obstruction theory — Operator theory — PCF theory — Perturbation theory — Potential theory — Probability theory — Ramsey theory — Rational choice theory — Representation theory — Ring theory — Set theory — Shape theory — Small cancellation theory — Spectral theory — Stability theory — Stable theory — Sturm – Liouville theory — Twistor theory

Graph drawing also can be said to encompass problems that deal with the crossing number and its various generalizations.

Graph theory also offers a context-free measure of connectedness, called the clustering coefficient.

It is also known under names such as Vector formula, Vector rally, Vector race, Graph racers, PolyRace, Paper and pencil racing, or the Graph paper race game.

This kind of search is achieved by looking for subgraph isomorphism ( sometimes also called a monomorphism ) and is a widely studied application of Graph theory.

AltGr ( also Alt Graph, Alt Graphic, Alt Graphics, Alt Grill, Alt Car or Alt Char ) is a modifier key found on many computer keyboards and primarily used to type characters that are unusual for the locale of the keyboard layout, such as currency symbols and accented letters.

Three applications were also released, the Visi On Calc spreadsheet for $ 395, Visi On Graph for $ 250 and the Visi On Word word processor for $ 375.

Graph embeddings are also used to prove structural results about graphs, via graph minor theory and the graph structure theorem.

The development of GXL was also influenced by various formats used in graph drawing ( e. g. daVinci, Graph Modelling Language ( GML ), Graphlet, GraphXML ) and current discussions on exchange formats for graph transformation systems.

*** CHROMATIC NUMBER ( also called the Graph Coloring Problem )

Graph representations can be as compact in the number of clauses as list representations and they also store structural information regarding which clauses were resolved to derive each resolvent.

Graph algorithms are a significant field of interest within computer science.

They were classmates at Parsons Junior High School and Forest Hills High School, and began performing together in their junior year as Tom and Jerry, with Simon as Jerry Landis ( whose last name he borrowed from a girl he had been dating ) and Garfunkel as Tom Graph ( so called because he was fond of tracking (" graphing ") hits on the pop charts ).

Examples include the SKIM (" S-K-I machine ") computer, built at the University of Cambridge Computer Laboratory, and the multiprocessor GRIP (" Graph Reduction In Parallel ") computer, built at University College London.

Graph of energies at low temperatures

The Control Office regulates train running, giving permission for trains to enter the single line sections, recording train movements on the Train Graph, ensuring trains are formed of an appropriate number of carriages ( depending on the expected train loadings ), acting as the single point of contact in the rare event of a failure occurring with rolling stock, and making station announcements at Porthmadog

Graph coloring has been studied as an algorithmic problem since the early 1970s: the chromatic number problem is one of Karp ’ s 21 NP-complete problems from 1972, and at approximately the same time various exponential-time algorithms were developed based on backtracking and on the deletion-contraction recurrence of.

Graph ƒ ( x ) with a y-intercept at ( 0, 1 ).

Graph of Liberal ( blue ) vs ALP ( red ) two-party-preferred results at federal level, 1984-2004, and state level, 1977-2005

TORA builds and maintains a Directed Acyclic Graph rooted at a destination.

Graph showing point of Maximum Social Advantage at point " P "

Graph showing point of Maximum Aggregate Benefit at point " E "

O ' Reilly has since held a series of topical Foo Camps at Google Headquarters, including Science Foo Camp, Collective Intelligence Foo Camp, Social Graph Foo Camp, and others.

Graph of a waveform and some distorted versions of the same waveform

Microsoft did release Fahrenheit Scene Graph as XSG the same year, but did so with a note saying it would not be supported.

Graph of the time for the pendulum to flip over as a function of initial conditions

Graph of time of sunrise for Libreville, Gabon, very near the equator.

Graph of Oldham County population over time

Graph showing the equation of time ( red solid line ) along with its two main components plotted separately, the part due to the obliquity of the ecliptic ( mauve broken line ) and the part due to the Sun's varying apparent speed along the ecliptic due to the eccentricity & ellipticity of the Earth's orbit ( dark dash-dotted line )

Graph coloring allocators produce efficient code, but their allocation time is high.

Graph of voltage output on a time scale.

In the tradition of hand lettering and lapidary inscription, the titling face shares similarities with the work of Zapf's friend Herb Lubalin especially the exuberant ligatures ( for which Lubalin's ITC Lubalin Graph and ITC Avant Garde are notable ).

An example of change ringing ( with six bells ), one of the earliest nontrivial results in Graph Theory.

* Graph Theory with Applications ( 1976 ) by Bondy and Murty

* first prizes for contributions ( with Andrej Mrvar ) to Graph Drawing Contests in years: 1995, 1996, 1997, 1998, 1999, 2000 and 2005 / Graph Drawing Hall of Fame.

It is a collaborative effort with Kitware, Inc., and leverages various open source components such as the Boost Graph Library.

* Graph paper or " grid paper ", writing paper that is printed with fine lines making up a regular grid

* Graph Theory, the branch of discrete mathematics dealing with the data structure

* Open Source Java Graph package with Bellman-Ford Algorithms

Graph of a cubic function with 3 real number | real root of a function | roots ( where the curve crosses the horizontal axis — where y = 0 ).

Graph of a polynomial of degree 5, with 4 critical point ( mathematics ) | critical points

Graph of a polynomial of degree 4, with 3 critical point ( mathematics ) | critical points.

* Visual Graph Editor 2 — VGE2 designed for quick and easy creation, editing and saving of graphs and analysis of problems connected with graphs.

The Fry Graph correlates 0. 86 with comprehension as measured by reading tests.

In January 2012, the music collective, New Party Systems, an ensemble containing First, released a song First wrote ( C2011 Silent Graph Music ASCAP ), " We Are " –– an anthem for the 99 %, with a video by director, Toni Comas.

O ' Reilly praises Facebook for their willingness to open up their platform with concepts like the Open Graph Protocol.

In a Graph with the set of vertices and the set of edges, the forward star of can be described as

Graph with strongly connected components marked