Results 31 to 40 of about 6,626,501 (294)

Labeling, Covering and Decomposing of Graphs — Smarandache’s Notion in Graph Theory [PDF]

open access: yes, 2010
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
core   +1 more source

PEWARNAAN TITIK TOTAL SUPER ANTI-AJAIB LOKAL PADA GRAF PETERSEN DIPERUMUM P(n,k) DENGAN k=1,2

open access: yesBarekeng, 2021
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
doaj   +1 more source

Neighbor Product Distinguishing Total Colorings of Planar Graphs with Maximum Degree at least Ten

open access: yesDiscussiones Mathematicae Graph Theory, 2021
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
doaj   +1 more source

Generalized Fractional Total Colorings of Complete Graph

open access: yesDiscussiones Mathematicae Graph Theory, 2013
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
doaj   +1 more source

Total Rainbow Connection Number of Some Graph Operations

open access: yesAxioms, 2022
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
doaj   +1 more source

Total colorings of equibipartite graphs

open access: yesDiscrete Mathematics, 1999
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
openaire   +2 more sources

Total Minimal Dominating Signed Graph [PDF]

open access: yes, 2010
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.
core   +1 more source

General Vertex-Distinguishing Total Coloring of Graphs

open access: yesJournal of Applied Mathematics, 2014
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
doaj   +1 more source

Planar graphs with $\Delta \geq 7$ and no triangle adjacent to a $C_4$ are minimally edge and total choosable [PDF]

open access: yesDiscrete Mathematics & Theoretical Computer Science, 2016
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
doaj   +1 more source

Exploring Relationship Between Traditional Lattices and Graph Lattices of Topological Coding

open access: yesJisuanji kexue yu tansuo, 2021
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
doaj   +1 more source

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