Results 1 to 10 of about 262 (120)

ON MULTIPLICATIVE K BANHATTI INDICES OF LINE GRAPHS

open access: yesScholarly Research Journal for Interdisciplinary Studies, 2021
Let G = (V,E) be a connected graph. The multiplicative K Banhatti indices of G are defined as BΠ*(G) = Que[dG(u) * dG(e)], where * is usual addition or multiplication and ue means that the vertex u and edge e are incident in G.
B. Manjunath
semanticscholar   +1 more source

Spanning Trees with Disjoint Dominating and 2-Dominating Sets

open access: yesDiscussiones Mathematicae Graph Theory, 2022
In this paper, we provide a structural characterization of graphs having a spanning tree with disjoint dominating and 2-dominating sets.
Miotk Mateusz, Żyliński Paweł
doaj   +1 more source

Graphs with Unique Maximum Packing of Closed Neighborhoods

open access: yesDiscussiones Mathematicae Graph Theory, 2022
A packing of a graph G is a subset P of the vertex set of G such that the closed neighborhoods of any two distinct vertices of P do not intersect. We study graphs with a unique packing of the maximum cardinality. We present several general properties for
Božović Dragana, Peterin Iztok
doaj   +1 more source

Enveloping algebras of Hom-Lie algebras [PDF]

open access: yes, 2007
Enveloping algebras of Hom-Lie and Hom-Leibniz algebras are constructed.
Donald Yau
semanticscholar   +1 more source

More on the Minimum Size of Graphs with Given Rainbow Index

open access: yesDiscussiones Mathematicae Graph Theory, 2020
The concept of k-rainbow index rxk(G) of a connected graph G, introduced by Chartrand et al., is a natural generalization of the rainbow connection number of a graph.
Zhao Yan
doaj   +1 more source

On the Distance Spectral Radius of Trees with Given Degree Sequence

open access: yesDiscussiones Mathematicae Graph Theory, 2020
We consider the problem of maximizing the distance spectral radius and a slight generalization thereof among all trees with some prescribed degree sequence.
Dadedzi Kenneth   +2 more
doaj   +1 more source

Degree Sum Condition for the Existence of Spanning k-Trees in Star-Free Graphs

open access: yesDiscussiones Mathematicae Graph Theory, 2022
For an integer k ≥ 2, a k-tree T is defined as a tree with maximum degree at most k. If a k-tree T spans a graph G, then T is called a spanning k-tree of G.
Furuya Michitaka   +5 more
doaj   +1 more source

Zagreb Polynomials and Redefined Zagreb indices for the Line Graph of Carbon Nanocones

open access: yesOpen Journal of Mathematical Analysis, 2018
A line graph has many useful applications in physical chemistry. Topological indices are numerical parameters associated to a structure and, in combination, determine properties of the concerned material.
Saba Noreen, Atif Mahmood
semanticscholar   +1 more source

On death processes and urn models [PDF]

open access: yesDiscrete Mathematics & Theoretical Computer Science, 2012
We use death processes and embeddings into continuous time in order to analyze several urn models with a diminishing content. In particular we discuss generalizations of the pill's problem, originally introduced by Knuth and McCarthy, and generalizations
Markus Kuba, Alois Panholzer
doaj   +1 more source

Saturation Spectrum of Paths and Stars

open access: yesDiscussiones Mathematicae Graph Theory, 2017
A graph G is H-saturated if H is not a subgraph of G but the addition of any edge from G̅ to G results in a copy of H. The minimum size of an H-saturated graph on n vertices is denoted sat(n,H), while the maximum size is the well studied extremal number,
Faudree Jill   +4 more
doaj   +1 more source

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