WebMar 20, 2024 · We obtain a relationship between the Laplacian energy and the distance Laplacian energy for graphs with diameter 2. We obtain lower bounds for the distance Laplacian energy DLE ( G) in terms of the order n, the Wiener index W ( G ), the independence number, the vertex connectivity number and other given parameters. WebFeb 3, 2024 · The design synthesis is the key issue in the mechanical conceptual design to generate the design candidates that meet the design requirements. This paper devotes to propose a novel and computable synthesis approach of mechanisms based on graph theory and polynomial operation. The graph framework of the synthesis approach is …
Tree (graph theory) - Wikipedia
WebSpringer-Verlag, Heidelberg Graduate Texts in Mathematics, Volume 173 ISBN 978-3-662-53621-6 eISBN 978-3-96134-005-7 August 2016 (2010, 2005, 2000, 1997) 447 pages; 124 figures. This standard textbook of … WebJul 1, 2012 · Graph Theory: Springer Graduate Text GTM 173. This standard textbook of modern graph theory, now in its fourth edition, combines the authority of a classic with the engaging freshness of style that is the hallmark of active mathematics. It covers the core material of the subject with concise yet reliably complete proofs, while offering glimpses ... hidden things of the heart
Graph Theory -- from Wolfram MathWorld
WebGraph (discrete mathematics) A graph with six vertices and seven edges. In discrete mathematics, and more specifically in graph theory, a graph is a structure amounting to a set of objects in which some pairs of the objects are in some sense "related". The objects correspond to mathematical abstractions called vertices (also called nodes or ... WebThe Wagner graph is triangle-free and has independence number three, providing one half of the proof that the Ramsey number R(3,4) (the least number n such that any n-vertex graph contains either a triangle or a four-vertex independent set) is 9. Graph minors. Möbius ladders play an important role in the theory of graph minors. WebModern Graph Theory. Bela Bollobas. Springer Science & Business Media, 1998 - Computers - 394 pages. 3 Reviews. Reviews aren't verified, but Google checks for and removes fake content when it's identified. The time has now come when graph theory should be part of the education of every serious student of mathematics and computer … hidden things on internet