Results 31 to 40 of about 6,626,501 (294)
Labeling, Covering and Decomposing of Graphs — Smarandache’s Notion in Graph Theory [PDF]
This paper surveys the applications of Smarandache’s notion to graph theory appeared in International J.Math.Combin. from Vol.1,2008 to Vol.3,2009.
Mao, Linfan, Linfan Mao
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PEWARNAAN TITIK TOTAL SUPER ANTI-AJAIB LOKAL PADA GRAF PETERSEN DIPERUMUM P(n,k) DENGAN k=1,2
The local antimagic total vertex labeling of graph G is a labeling that every vertices and edges label by natural number from 1 to such that every two adjacent vertices has different weights, where is The sum of a vertex label and the labels of all ...
Deddy Setyawan +4 more
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Neighbor Product Distinguishing Total Colorings of Planar Graphs with Maximum Degree at least Ten
A proper [k]-total coloring c of a graph G is a proper total coloring c of G using colors of the set [k] = {1, 2, . . . , k}. Let p(u) denote the product of the color on a vertex u and colors on all the edges incident with u.
Dong Aijun, Li Tong
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Generalized Fractional Total Colorings of Complete Graph
An additive and hereditary property of graphs is a class of simple graphs which is closed under unions, subgraphs and isomorphism. Let P and Q be two additive and hereditary graph properties and let r, s be integers such that r ≥ s Then an fractional (P,
Karafová Gabriela
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Total Rainbow Connection Number of Some Graph Operations
In a graph H with a total coloring, a path Q is a total rainbow if all elements in V(Q)∪E(Q), except for its end vertices, are assigned different colors. The total coloring of a graph H is a total rainbow connected coloring if, for any x,y∈V(H), there is
Hengzhe Li, Yingbin Ma, Yan Zhao
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Total colorings of equibipartite graphs
The total chromatic number \(\chi_T(G)\) of a (simple) graph \(G\) is the least number of colours needed to colour the vertices and edges of \(G\) such that no two adjacent or incident vertices/edges receive the same colour. It is known that if \(G\) is a bipartite graph, then \(\Delta(G)+ 1\leq\chi_T(G)\leq \Delta(G)+ 2\), where \(\Delta(G)\) is the ...
Bor-Liang Chen +3 more
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Total Minimal Dominating Signed Graph [PDF]
Cartwright and Harary considered graphs in which vertices represent persons and the edges represent symmetric dyadic relations amongst persons each of which designated as being positive or negative according to whether the nature of the relationship is ...
Reddy, Siva Kota, Vijay, S.
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General Vertex-Distinguishing Total Coloring of Graphs
The general vertex-distinguishing total chromatic number of a graph G is the minimum integer k, for which the vertices and edges of G are colored using k colors such that any two vertices have distinct sets of colors of them and their incident edges.
Chanjuan Liu, Enqiang Zhu
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Planar graphs with $\Delta \geq 7$ and no triangle adjacent to a $C_4$ are minimally edge and total choosable [PDF]
For planar graphs, we consider the problems of list edge coloring and list total coloring. Edge coloring is the problem of coloring the edges while ensuring that two edges that are adjacent receive different colors.
Marthe Bonamy +2 more
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Exploring Relationship Between Traditional Lattices and Graph Lattices of Topological Coding
It is known that there are no polynomial quantum algorithms to solve some lattice difficult problems. Uncolored graphic lattice and colored graphic lattice are the products of multidisciplinary intersection inspired by lattice theory. A uncolored graphic
ZHANG Mingjun, YANG Sihua, YAO Bing
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