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Handbook of Research on Advanced Applications of Graph Theory in Modern Society, 2020
Mathematics acts an important and essential need in different fields. One of the significant roles in mathematics is played by graph theory that is used in structural models and innovative methods, models in various disciplines for better strategic ...
R. Seethalakshmi
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Mathematics acts an important and essential need in different fields. One of the significant roles in mathematics is played by graph theory that is used in structural models and innovative methods, models in various disciplines for better strategic ...
R. Seethalakshmi
semanticscholar +4 more sources
Zeta and 𝐿-functions in Number Theory and
Combinatorics, 2019
Spectral graph theory is a vast and expanding area of combinatorics. We start these notes by introducing and motivating classical matrices associated with a graph, and then show how to derive combinatorial properties of a graph from the eigenvalues of ...
Amol Sahebrao Hinge
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Spectral graph theory is a vast and expanding area of combinatorics. We start these notes by introducing and motivating classical matrices associated with a graph, and then show how to derive combinatorial properties of a graph from the eigenvalues of ...
Amol Sahebrao Hinge
semanticscholar +1 more source
Oberwolfach Reports, 2005
This conference was one of a series of Oberwolfach conferences, held every two years or so, with focus on graph structure, decomposition, and representation. There were 49 participants, including over a dozen graduate students and postdocs. At the request of the Oberwolfach Director, the conference schedule was designed to promote informal ...
Reinhard Diestel +2 more
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This conference was one of a series of Oberwolfach conferences, held every two years or so, with focus on graph structure, decomposition, and representation. There were 49 participants, including over a dozen graduate students and postdocs. At the request of the Oberwolfach Director, the conference schedule was designed to promote informal ...
Reinhard Diestel +2 more
openaire +2 more sources
Graph Theory and Probability [PDF]
Canadian Journal of Mathematics, 1959 A well-known theorem of Ramsay (8; 9) states that to every n there exists a smallest integer g(n) so that every graph of g(n) vertices contains either a set of n independent points or a complete graph of order n, but there exists a graph of g(n) — 1 vertices which does not contain a complete subgraph of n vertices and also does not contain a set of n ...
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2022
This chapter establishes the graph theoretical conventions used in the handbook. • Graph theory conventions and notation. • Graph parameters and properties. • Standard graph operations.
Ellis-Monaghan, J.A., Moffatt, I.
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This chapter establishes the graph theoretical conventions used in the handbook. • Graph theory conventions and notation. • Graph parameters and properties. • Standard graph operations.
Ellis-Monaghan, J.A., Moffatt, I.
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Journal of the London Mathematical Society, 1998 This paper develops a deformation theory for \(k\)-parameter families of pointed marked graphs with fixed fundamental group \(F_n\). Applications include a simple geometric proof of stability of the rational homology of \(\Aut(F_n)\), computations of the rational homology of \(\Aut(F_n)\) in small dimensions, proofs that various natural complexes of ...
Karen Vogtmann, Allen Hatcher
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Thermal Modeling in Metal Additive Manufacturing Using Graph Theory
Journal of manufacturing science and engineering, 2019The goal of this work is to predict the effect of part geometry and process parameters on the instantaneous spatiotemporal distribution of temperature, also called the thermal field or temperature history, in metal parts as they are being built layer-by ...
M. Yavari, K. Cole, Prahalada K. Rao
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A GENERAL POSITION PROBLEM IN GRAPH THEORY
Bulletin of the Australian Mathematical Society, 2018The paper introduces a graph theory variation of the general position problem: given a graph $G$ , determine a largest set $S$ of vertices of $G$ such that no three vertices of $S$ lie on a common geodesic.
P. Manuel, S. Klavžar
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Novel reliable routing method for engineering of internet of vehicles based on graph theory
Engineering computations, 2018Purpose The communication link in the engineering of Internet of Vehicle (IOV) is more frequent than the communication link in the Mobile ad hoc Network (MANET).
De-gan Zhang +5 more
semanticscholar +1 more source