Results 31 to 40 of about 3,727,852 (123)
Extremal Trees with respect to Number of (A, B, 2C)‐Edge Colourings
Journal of Applied Mathematics, Volume 2015, Issue 1, 2015., 2015 We determine the smallest and the largest number of (A, B, 2C)‐edge colourings in trees. We prove that the star is a unique tree that maximizes the number of all of the (A, B, 2C)‐edge colourings and that the path is a unique tree that minimizes it.
Krzysztof Piejko, Heping Zhang
wiley +1 more source
Merrifield-Simmons Index and Its Entropy of the 4-8-8 Lattice [PDF]
, 2014 The Merrifield-Simmons index is a topological index used in structural chemistry for quantifying relevant properties of molecular structure. This index, in different names, has been studied on the square, triangular and hexagonal lattices by using the ...
Zhang, Z
core +1 more source
Turbulent Diffusivity Profiles on the Shelf and Slope at the Southern Edge of the Canada Basin
Journal of Geophysical Research: Oceans, Volume 129, Issue 3, March 2024.Abstract Vertical profiles of temperature microstructure at 95 stations were obtained over the Beaufort shelf and shelfbreak in the southern Canada Basin during a November 2018 research cruise. Two methods for estimating the dissipation rates of temperature variance and turbulent kinetic energy were compared using this data set.
Ruby Yee +5 more
wiley +1 more source
Total Graph Interpretation of the Numbers of the Fibonacci Type
Journal of Applied Mathematics, Volume 2015, Issue 1, 2015., 2015 We give a total graph interpretation of the numbers of the Fibonacci type. This graph interpretation relates to an edge colouring by monochromatic paths in graphs. We will show that it works for almost all numbers of the Fibonacci type. Moreover, we give the lower bound and the upper bound for the number of all (A1, 2A1)‐edge colourings in trees.
Urszula Bednarz +3 more
wiley +1 more source
AlgorithmsTopological indices provide numerical descriptions of graph structure and support graph analysis in cheminformatics, network design, and graph mining.
Nadia Khan +5 more
doaj +1 more source
On k‐Distance Pell Numbers in 3‐Edge‐Coloured Graphs
Journal of Applied Mathematics, Volume 2014, Issue 1, 2014., 2014 We define in this paper new distance generalizations of the Pell numbers and the companion Pell numbers. We give a graph interpretation of these numbers with respect to a special 3‐edge colouring of the graph.
Krzysztof Piejko, Iwona Włoch, Song Cen
wiley +1 more source
Counting Rules for Computing the Number of Independent Sets of a Grid Graph
MathematicsThe issue of counting independent sets of a graph, G, represented as i(G), is a significant challenge within combinatorial mathematics. This problem finds practical applications across various fields, including mathematics, computer science, physics, and
Guillermo De Ita Luna +2 more
doaj +1 more source
THE MERRIFIELD-SIMMONS INDICES OF 2-METHYL ALKANES AND 1-METHYL BICYCLO [X.1.0] ALKANES
, 2017 In this paper the Merrifield-Simmons indices of the 2-methyl alkanes and the 1-methyl bicyclo [X.1.0] alkanes are obtained. After that, the Merrifield-Simmons index of the binary compositions of these molecules which are connected with a single carbon ...
Sahin, Bunyamin, Gultekin, Inci
core +3 more sources
Merrifield-Simmons index of Cartesian product of two graphs
Journal of Physics: Conference Series, 2020 Abstract Merrifield-Simmons index of a graph G shorted word M-S index, noted by σ(G), which is defined as the number of the independent sets of the graph G. In this paper, a special graph is defined and considered the Merrifield-Simmons index.
Man Liu, Shuang-liang Tian, Qing Yang
openaire +1 more source
The Expected Values of Hosoya Index and Merrifield-Simmons Index of Random Hexagonal Cacti [PDF]
, 2023 Hosoya index and Merrifield-Simmons index are two well-known topological descriptors that reflex some physical properties, boiling point or heat of formation for instance, of bezenoid hydrocarbon compounds.
Jiarasuksakun, Thiradet +4 more
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