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First edition. Graph Theory, 1736–1936 is a book in the history of mathematics on graph theory.It focuses on the foundational documents of the field, beginning with the 1736 paper of Leonhard Euler on the Seven Bridges of Königsberg and ending with the first textbook on the subject, published in 1936 by Dénes Kőnig.
William Playfair (22 September 1759 – 11 February 1823) was a Scottish engineer and political economist.The founder of graphical methods of statistics, [1] Playfair invented several types of diagrams: in 1786 he introduced the line, area and bar chart of economic data, and in 1801 he published what were likely the first pie chart and circle graph, used to show part-whole relations. [2]
In mathematics and computer science, graph theory is the study of graphs, ... Archived (PDF) from the original on 2019-05-17. Gibbons, Alan (1985).
Leonhard Euler (/ ˈ ɔɪ l ər / OY-lər; [b] German: [ˈleːɔnhaʁt ˈʔɔʏlɐ] ⓘ, Swiss Standard German: [ˈleɔnhard ˈɔʏlər]; 15 April 1707 – 18 September 1783) was a Swiss mathematician, physicist, astronomer, geographer, logician, and engineer who founded the studies of graph theory and topology and made pioneering and influential discoveries in many other branches of ...
These changes leave five bridges existing at the same sites that were involved in Euler's problem. In terms of graph theory, two of the nodes now have degree 2, and the other two have degree 3. Therefore, an Eulerian path is now possible, but it must begin on one island and end on the other. [9]
In graph theory, two of Petersen's most famous contributions are: the Petersen graph, exhibited in 1898, served as a counterexample to Tait's ‘theorem’ on the 4-colour problem: a bridgeless 3-regular graph is factorable into three 1-factors and the theorem: ‘a connected 3-regular graph with at most two leaves contains a 1-factor’.
Harary invented this branch of graph theory, [8] [9] which grew out of a problem of theoretical social psychology investigated by the psychologist Dorwin Cartwright and Harary. [10] Applications of graph theory in numerous areas, especially to social science such as balance theory, opinion dynamics, and the theory of tournaments. [11]
James Joseph Sylvester (3 September 1814 – 15 March 1897) was an English mathematician.He made fundamental contributions to matrix theory, invariant theory, number theory, partition theory, and combinatorics.