Results 11 to 20 of about 746 (100)

Fault-Tolerant Resolvability in Some Classes of Line Graphs

open access: yesMathematical Problems in Engineering, Volume 2020, Issue 1, 2020., 2020
Fault tolerance is the characteristic of a system that permits it to carry on its intended operations in case of the failure of one of its units. Such a system is known as the fault-tolerant self-stable system. In graph theory, if we remove any vertex in
Xuan Guo   +4 more
semanticscholar   +2 more sources

Trees Whose Even-Degree Vertices Induce a Path are Antimagic

open access: yesDiscussiones Mathematicae Graph Theory, 2022
An antimagic labeling of a connected graph G is a bijection from the set of edges E(G) to {1, 2, . . ., |E(G)|} such that all vertex sums are pairwise distinct, where the vertex sum at vertex v is the sum of the labels assigned to edges incident to v.
Lozano Antoni   +3 more
doaj   +1 more source

SEMT valuation and strength of subdivided star of K 1,4

open access: yesOpen Mathematics, 2020
This study focuses on finding super edge-magic total (SEMT) labeling and deficiency of imbalanced fork and disjoint union of imbalanced fork with star, bistar and path; in addition, the SEMT strength for Imbalanced Fork is investigated.
Kanwal Salma   +6 more
doaj   +1 more source

On Face Irregular Evaluations of Plane Graphs

open access: yesDiscussiones Mathematicae Graph Theory, 2022
We investigate face irregular labelings of plane graphs and we introduce new graph characteristics, namely face irregularity strength of type (α,β,γ). We obtain some estimation on these parameters and determine the precise values for certain families of ...
Bača Martin   +3 more
doaj   +1 more source

ℤ2 × ℤ2-Cordial Cycle-Free Hypergraphs

open access: yesDiscussiones Mathematicae Graph Theory, 2021
Hovey introduced A-cordial labelings as a generalization of cordial and harmonious labelings [7]. If A is an Abelian group, then a labeling f : V (G) → A of the vertices of some graph G induces an edge labeling on G; the edge uv receives the label f(u) +
Cichacz Sylwia   +2 more
doaj   +1 more source

Vertex Graceful Labeling-Some Path Related Graphs [PDF]

open access: yes, 2013
Treating subjects as vertex graceful graphs, vertex graceful labeling, caterpillar, actinia graphs, Smarandachely vertex m ...
Balaganesan, P.   +2 more
core   +1 more source

Odd Harmonious Labeling of Some Graphs [PDF]

open access: yes, 2012
The labeling of discrete structures is a potential area of research due to its wide range of applications.
Shah, N.H., Vaidya, S.K.
core   +1 more source

A Note on 1-Edge Balance Index Set [PDF]

open access: yes, 2012
A graph labeling is an assignment of integers to the vertices or edges or both, subject to certain conditions. Varieties of graph labeling have been investigated by many authors [2], [3] [5] and they serve as useful models for broad range of ...
Chandrashekar Adiga,   +2 more
core   +1 more source

Note on group distance magic graphs $G[C_4]$ [PDF]

open access: yes, 2012
A \emph{group distance magic labeling} or a $\gr$-distance magic labeling of a graph $G(V,E)$ with $|V | = n$ is an injection $f$ from $V$ to an Abelian group $\gr$ of order $n$ such that the weight $w(x)=\sum_{y\in N_G(x)}f(y)$ of every vertex $x \in V$
D. Froncek   +3 more
core   +2 more sources

On Total H-Irregularity Strength of the Disjoint Union of Graphs

open access: yesDiscussiones Mathematicae Graph Theory, 2020
A simple graph G admits an H-covering if every edge in E(G) belongs to at least to one subgraph of G isomorphic to a given graph H. For the subgraph H ⊆ G under a total k-labeling we define the associated H-weight as the sum of labels of all vertices and
Ashraf Faraha   +5 more
doaj   +1 more source

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