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Total graph of a signed graph [PDF]
Ars Mathematica Contemporanea, 2022 The total graph is built by joining the graph to its line graph by means of the incidences. We introduce a similar construction for signed graphs. Under two similar definitions of the line signed graph, we define the corresponding total signed graph and we show that it is stable under switching.
Francesco Belardo +2 more
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Total dominator total coloring of a graph [PDF]
Contributions to Discrete Mathematics, 2023 Here, we initiate to study the total dominator total coloring of a graph which is a total coloring of the graph such that each object of the graph is adjacent or incident to every object of some color class. In more details, while in section 2 we present some tight lower and upper bounds for the total dominator total chromatic number of a graphs in ...
Adel P. Kazemi +2 more
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Complete bipartite graph is a totally irregular total graph [PDF]
Electronic Journal of Graph Theory and Applications, 2021 A graph G is called a totally irregular total k-graph if it has a totally irregular total k-labeling λ : V ∪ E→ 1, 2, ... , k, that is a total labeling such that for any pair of different vertices x and y of G, their weights wt(x) and wt(y) are distinct,
Meilin I. Tilukay +4 more
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The total irregularity of a graph [PDF]
Discrete Mathematics & Theoretical Computer Science, 2014 Graph ...
Hosam Abdo, Stephan Brandt, D. Dimitrov
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Discussiones Mathematicae Graph Theory, 2015 Erratum Identification and corrections of the existing mistakes in the paper On the total graph of Mycielski graphs, central graphs and their covering numbers, Discuss. Math. Graph Theory 33 (2013) 361-371.
Forouhandeh S.F. +4 more
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The total graph of a hypergraph [PDF]
Discrete Mathematics, 1997 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Cowling, Peter
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Total Domination on Some Graph Operators [PDF]
Mathematics, 2021 Let G=(V,E) be a graph; a set D⊆V is a total dominating set if every vertex v∈V has, at least, one neighbor in D. The total domination number γt(G) is the minimum cardinality among all total dominating sets.
José M. Sigarreta
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New results of partially total fuzzy graph [PDF]
BMC Research Notes, 2023 Objective The study of total fuzzy graphs in all cases is crucial for the development of both theories and applications of the graph theory. Without theory the application will not be developed.
Fekadu Tesgera Agama +2 more
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Total Domination Multisubdivision Number of a Graph [PDF]
Discussiones Mathematicae Graph Theory, 2015 The domination multisubdivision number of a nonempty graph G was defined in [3] as the minimum positive integer k such that there exists an edge which must be subdivided k times to increase the domination number of G.
Avella-Alaminos Diana +3 more
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Total graph of a $0$-distributive lattice [PDF]
Categories and General Algebraic Structures with Applications, 2018 Let £ be a $0$-distributive lattice with the least element $0$, the greatest element $1$, and ${rm Z}(£)$ its set of zero-divisors. In this paper, we introduce the total graph of £, denoted by ${rm T}(G (£))$.
Shahabaddin Ebrahimi Atani +3 more
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