Results 41 to 50 of about 5,946 (233)
Universal Rigidity of Complete Bipartite Graphs [PDF]
Discrete & Computational Geometry, 2017 DCG published ...
Robert Connelly, Steven J. Gortler
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Efficient Generation of Different Topological Representations of Graphs Beyond-Planarity
Journal of Graph Algorithms and Applications, 2020 Beyond-planarity focuses on combinatorial properties of classes of non-planar graphs that allow for representations satisfying certain local geometric or topological constraints on their edge crossings.
Patrizio Angelini +3 more
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Homomorphisms of infinite bipartite graphs onto complete bipartite graphs [PDF]
Czechoslovak Mathematical Journal, 1983 Let B be a bipartite graph on the vertex sets C, D. A homomorphism \(\phi\) of B onto a complete bipartite graph \(K_{r,s}\) is said to be bicomplete if \(\phi(x)=\phi(y)\) only if either both x, y belong to C, or both x, y belong to D. For a connected bipartite graph B, the author defines the parameter \(\beta_ 0(B)\) as the supremum of all values of ...
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Spin‐Split Edge States in Metal‐Supported Graphene Nanoislands Obtained by CVD
Advanced Materials, EarlyView.Combining STM measurements and ab‐initio calculations, we show that zig‐zag edges in graphene nanoislands grown on Ni(111) by CVD retrieve their spin‐polarized edge states after intercalation of a few monolayers of Au. ABSTRACT Spin‐split states localized on zigzag edges have been predicted for different free‐standing graphene nanostructures.
Michele Gastaldo +6 more
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On the Line Graph of the Complete Bipartite Graph
The Annals of Mathematical Statistics, 1964 In an interesting recent article [4], J. W. Moon has given a list of properties of the graph $L(B_{mn})$ (to be defined more precisely below) and investigated the question of whether these properties characterize the graph. In case $m = n$, this question had been settled by Shrikhande [5] (see also [1], [2] and [3]), who proved that the answer was yes ...
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Data‐Driven Materials Science for Energy‐Sustainable Applications
Advanced Materials, EarlyView.Data‐driven approaches powered by artificial intelligence are transforming materials discovery for energy sustainability. This review examines how auto‐generated high‐quality materials databases and domain‐specific language models accelerate research in photovoltaics, thermoelectrics, batteries and magnetic materials. Applications involve extraction of
Jacqueline M. Cole
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ABC energies and spectral radii of some graph operations
Frontiers in Physics, 2022 The present article presents some new results relating to Atomic Bond Connectivity energies and Spectral radii of generalized splitting and generalized shadow graphs constructed on the basis of some fundamental families of cycle graph Cn, complete graph ...
Ahmad Bilal, Muhammad Mobeen Munir
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Advanced Science, EarlyView.SKALE 2.0 maps disease‐associated protein aggregation as a phase‐resolved structural process, linking mutation‐induced geometric perturbations to nucleation, elongation, and suppressor design. Across neurodegenerative proteins, the framework reveals cryptic aggregation vulnerabilities, separates phase‐concordant and phase‐switching mutations, and ...
Jia Shen Sio +6 more
wiley +1 more source
On dynamic colouring of cartesian product of complete graph with some graphs
Journal of Taibah University for Science, 2020 A proper vertex colouring is called a 2-dynamic colouring, if for every vertex v with degree at least 2, the neighbours of v receive at least two colours. The smallest integer k such that G has a dynamic colouring with k colours denoted by $\chi _2(G) $.
K. Kaliraj +2 more
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On Orthogonal Double Covers and Decompositions of Complete Bipartite Graphs by Caterpillar Graphs
Algorithms, 2023 Nowadays, graph theory is one of the most exciting fields of mathematics due to the tremendous developments in modern technology, where it is used in many important applications.
Ahmed El-Mesady +3 more
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