OPTIMIZATION IN SHELL GRAPH FAMILIES THROUGH HARMONIOUS DYNAMIC COLORING
This study introduces a new approach in graph coloring known as harmonious dynamic coloring which is useful in optimization of social network analysis, telecommunications, airspace, resource allocation and related engineering problems.
Shanthini D, Raji M
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The aesthetic emotional expression of piano music art in the background of Internet of things. [PDF]
Front Psychol, 2022 Zhang X, Kang Q.
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Maximal independence and regularity of Al/Si distributions in disordered phyllosilicates 2:1
Acta Crystallographica Section A, Volume 82, Issue 6, Page 472-485, November 2026.The distribution of aluminium cations in disordered phyllosilicates is analysed according to the concepts of maximal independence and regularity.As an extension of previous works, we analyse regularity in disordered Al/Si distributions in phyllosilicates 2:1. The method is based on an analysis of maximal independent sets in a labelled quotient graph of
Montauban Moreira de Oliveira Jr +1 more
wiley +1 more source
Odd mean labeling for two star graph
, 2017 In this paper further result on odd mean labeling is discussed. We prove that the two star G = K 1,m ∧ K 1,n is an odd mean graph if and only if |m − n| ≤ 3.
Silviya Francis, S. Sudhakar, V. Balaji
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Induced packing of odd cycles in a planar graph
, 2009 An induced packing of odd cycles in a graph is a packing such that there is no edge in a graph between any two odd cycles in the packing. We prove that the problem is solvable in time when the input graph is planar.
Kamiński, M. +3 more
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Synthesis and Comprehensive in Vivo Activity Profiling of Olean-12-en-28-ol, 3β-Pentacosanoate in Experimental Autoimmune Encephalomyelitis: A Natural Remyelinating and Anti-Inflammatory Agent. [PDF]
J Nat Prod, 2023 Senol H +7 more
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Discrete homotopy hypothesis for n$n$‐types
Proceedings of the London Mathematical Society, Volume 133, Issue 5, November 2026.Abstract We show that discrete and classical homotopy theories are equivalent after localizing at n$n$‐equivalences for any non‐negative integer n$n$. By constructing an explicit homotopy inverse to the graph nerve functor associating an n$n$‐fibrant cubical set to a graph, we are also able to give explicit computations of several previously unknown ...
Daniel Carranza, Krzysztof Kapulkin
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Bounds for the harmonious chromatic number of a graph
, 1994 The upper bound for the harmonious chromatic number of a graph given by Zhikang Lu and by C. McDiarmid and Luo Xinhua, independently (Journal of Graph Theory, 1991, pp. 345-347 and 629-636) and the lower bound given by D. G. Beane, N. L. Biggs, and B. J.
Krasikov, I +3 more
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Effects of Elastodontic Appliance on the Pharyngeal Airway Space in Class II Malocclusion. [PDF]
J Clin Med, 2023 Patano A +12 more
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On Graph Odd Edge-Colorings and Odd Edge-Coverings [PDF]
In this paper, we fully resolve two major conjectures on odd edge-colorings and odd edge-coverings of graphs, proposed by Petru{\v{s}}evski and {\v{S}}krekovski ({\it European Journal of Combinatorics,} 91:103225, 2021).
Liu, Xiao-Chuan, Yang, Xu
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