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Graph Theory [PDF]

open access: yesSymmetry, 2018
This book contains the successful invited submissions [1–10] to a special issue of Symmetry on the subject area of ‘graph theory’ [...]
Jose M. Rodriguez
doaj   +4 more sources

Wavelets on Graphs via Spectral Graph Theory [PDF]

open access: yesApplied and Computational Harmonic Analysis, 2009
We propose a novel method for constructing wavelet transforms of functions defined on the vertices of an arbitrary finite weighted graph. Our approach is based on defining scaling using the the graph analogue of the Fourier domain, namely the spectral decomposition of the discrete graph Laplacian $ $.
David K. Hammond   +2 more
semanticscholar   +9 more sources

Graph Theory: A Comprehensive Survey about Graph Theory Applications in Computer Science and Social Networks

open access: yesInventions, 2020
Graph theory (GT) concepts are potentially applicable in the field of computer science (CS) for many purposes. The unique applications of GT in the CS field such as clustering of web documents, cryptography, and analyzing an algorithm’s execution ...
Abdul Majeed, Ibtisam Rauf
doaj   +2 more sources

Geometric Graph Theory [PDF]

open access: green, 1999
Note: Professor Pach's number: [172]; 2nd edition Reference DCG-CHAPTER-2008-027 Record created on 2008-11-18, modified on 2017-05 ...
János Pach
openalex   +5 more sources

The Role of Graph Theory in System of Systems Engineering

open access: yesIEEE Access, 2016
The world of system of systems engineering (SoSE), and consequently systems engineering, is currently being reformalized so as to provide greater functionality, integration, and extensibility into designed systems of systems (SoS).
Willie K. Harrison
doaj   +2 more sources

On minimal blocking sets of the generalized quadrangle $Q(4, q)$ [PDF]

open access: yesDiscrete Mathematics & Theoretical Computer Science, 2005
The generalized quadrangle $Q(4,q)$ arising from the parabolic quadric in $PG(4,q)$ always has an ovoid. It is not known whether a minimal blocking set of size smaller than $q^2 + q$ (which is not an ovoid) exists in $Q(4,q)$, $q$ odd. We present results
Miroslava Cimráková, Veerle Fack
doaj   +1 more source

Hadamard matrices of order 36 and double-even self-dual [72,36,12] codes [PDF]

open access: yesDiscrete Mathematics & Theoretical Computer Science, 2005
Before this work, at least 762 inequivalent Hadamard matrices of order 36 were known. We found 7238 Hadamard matrices of order 36 and 522 inequivalent [72,36,12] double-even self-dual codes which are obtained from all 2-(35,17,8) designs with an ...
Iliya Bouyukliev   +2 more
doaj   +1 more source

Graph Theory and Algorithms for Network Analysis [PDF]

open access: yesE3S Web of Conferences, 2023
In network analysis, the study and comprehension of complex systems in numerous fields, such as social networks, transportation networks, and biological networks, are made possible by the crucial role played by graph theory and algorithms.
Arul Sharmila Mary   +5 more
doaj   +1 more source

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