Results 31 to 40 of about 878,093 (282)

New results of partially total fuzzy graph

BMC Research Notes, 2023
Objective The study of total fuzzy graphs in all cases is crucial for the development of both theories and applications of the graph theory. Without theory the application will not be developed.
Fekadu Tesgera Agama, V. N. SrinivasaRao Repalle, Laxmi Rathour   +2 more
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M. Kontsevich's graph complex and the Grothendieck-Teichmueller Lie algebra [PDF]

, 2013
We show that the zeroth cohomology of M. Kontsevich's graph complex is isomorphic to the Grothendieck-Teichmueller Lie algebra grt_1. The map is explicitly described. This result has applications to deformation quantization and Duflo theory.
A Alekseev, A Alekseev, A Alekseev, B Shoikhet, D Bar-Natan, D Calaque, D Tamarkin, DE Tamarkin, F Brown, H Furusho, H Furusho, L Schneps, M Kontsevich, M Kontsevich, P Etingof, P Lambrechts, P Ševera, S Merkulov, Thomas Willwacher, TTQ Le, V Dolgushev, V Hinich, V Turchin, VG Drinfeld   +23 more
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Tur\'an Graphs, Stability Number, and Fibonacci Index

, 2008
The Fibonacci index of a graph is the number of its stable sets. This parameter is widely studied and has applications in chemical graph theory. In this paper, we establish tight upper bounds for the Fibonacci index in terms of the stability number and ...
A. Knopfmacher, A.S. Pedersen, A.S. Pedersen, A.S. Pedersen, C. Berge, C. Heuberger, H. Prodinger, H. Wang, I. Gutman, J.M. Byskov, L. Lovász, M. Wang, N. Bougard, P. Erdös, P. Turán, R.-L. Brooks, R.E. Merrifield, R.F. Tichy, S. Wagner, X. Li, X. Li   +20 more
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Exploiting chordal structure in polynomial ideals: a Gr\"obner bases approach [PDF]

, 2016
Chordal structure and bounded treewidth allow for efficient computation in numerical linear algebra, graphical models, constraint satisfaction and many other areas.
Cifuentes, Diego, Parrilo, Pablo
core   +2 more sources

Errata: New measures of graph irregularity

Electronic Journal of Graph Theory and Applications, 2015
This paper gives an errata to the paper "New measure of graph irregularity", Electronic Journal of Graph Theory and Applications {\bf 2}(1) (2014), 52-65.
Clive Elphick, Pawel Wocjan
doaj   +1 more source

Vertex-Based Topological Indices of Double and Strong Double Graph of Dutch Windmill Graph

Journal of Chemistry, 2021
A measurement of the molecular topology of graphs is known as a topological index, and several physical and chemical properties such as heat formation, boiling point, vaporization, enthalpy, and entropy are used to characterize them.
Muhammad Asad Ali, Muhammad Shoaib Sardar, Imran Siddique, Dalal Alrowaili   +3 more
doaj   +1 more source

Graph Neural Network: A Comprehensive Review on Non-Euclidean Space

IEEE Access, 2021
This review provides a comprehensive overview of the state-of-the-art methods of graph-based networks from a deep learning perspective. Graph networks provide a generalized form to exploit non-euclidean space data.
Nurul A. Asif, Yeahia Sarker, Ripon K. Chakrabortty, Michael J. Ryan, Md. Hafiz Ahamed, Dip K. Saha, Faisal R. Badal, Sajal K. Das, Md. Firoz Ali, Sumaya I. Moyeen, Md. Robiul Islam, Zinat Tasneem   +11 more
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Computing The Irregularity Strength of Planar Graphs

Mathematics, 2018
The field of graph theory plays a vital role in various fields. One of the important areas in graph theory is graph labeling used in many applications such as coding theory, X-ray crystallography, radar, astronomy, circuit design, communication network ...
Hong Yang, Muhammad Kamran Siddiqui, Muhammad Ibrahim, Sarfraz Ahmad, Ali Ahmad   +4 more
doaj   +1 more source

Operator and Graph Theoretic Techniques for Distinguishing Quantum States via One-Way LOCC

Applied Sciences, 2021
We bring together in one place some of the main results and applications from our recent work on quantum information theory, in which we have brought techniques from operator theory, operator algebras, and graph theory for the first time to investigate ...
David W. Kribs, Comfort Mintah, Michael Nathanson, Rajesh Pereira   +3 more
doaj   +1 more source

Discrete Convex Functions on Graphs and Their Algorithmic Applications

, 2017
The present article is an exposition of a theory of discrete convex functions on certain graph structures, developed by the author in recent years.
A Bernáth, A Frank, AV Goldberg, AV Karzanov, AV Karzanov, AV Karzanov, AWJ Kolen, BC Tansel, E Anshelevich, F Kuivinen, G Grätzer, H Hirai, H Hirai, H Hirai, H Hirai, H-J Bandelt, J Kleinberg, K Murota, K Murota, K Murota, MA Babenko, MR Bridson, N Garg, P Abramenko, P Favati, R Hassin, S Fujishige, S Fujishige, S Fujishige, S Fujishige, S Fujishige, S Živný, T Fukunaga, V Chepoi, V Kolmogorov, VV Vazirani, Y Iwata   +36 more
core   +1 more source