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Entire Labeling of Plane Graphs
2015
Applied Mathematics & Information Sciences
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The minimum k for which a plane graph G has a face irregular entire k-labeling is called the entire face irregularity strength. ...
We obtain some estimations on the entire face irregularity strength and determine the precise values for graphs from three families of plane graphs. ...
Acknowledgement The work of the first author was supported by the Slovak VEGA grant under the contract No. 1/0130/12 and the work of the second author was supported by the Slovak Science and Technology ...
doi:10.12785/amis/010132
fatcat:zotfeyzsffeaxnq5putzzxdr7q
Entire Labeling of Plane Graphs
2015
Applied Mathematics & Information Sciences
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The minimum k for which a plane graph G has a face irregular entire k-labeling is called the entire face irregularity strength. ...
We obtain some estimations on the entire face irregularity strength and determine the precise values for graphs from three families of plane graphs. ...
Acknowledgement The work of the first author was supported by the Slovak VEGA grant under the contract No. 1/0130/12 and the work of the second author was supported by the Slovak Science and Technology ...
doi:10.12785/amis/090132
fatcat:o75stcyt2bfnpejbf5w62lts5a
On face irregular evaluations of plane graphs
2020
Discussiones Mathematicae Graph Theory
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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 plane graphs that prove the sharpness of the lower bounds. ...
The minimum k for which the graph G has an H-irregular total k-labeling is called the total H-irregularity strength of the graph G and is denoted by ths(G, H). ...
doi:10.7151/dmgt.2294
fatcat:rdqkjdq6nngc5pyrky3fpu3arq
The total face irregularity strength of some plane graphs
2019
AKCE International Journal of Graphs and Combinatorics
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Improving the results, this paper deals with the total face irregularity strength of the disjoint union of multiple copies of a plane graph G. ...
A face irregular total k-labeling λ : V ∪ E → {1, 2, . . . , k} of a 2-connected plane graph G is a labeling of vertices and edges such that their face-weights are pairwise distinct. ...
The minimum k for which a plane graph G has a face irregular entire k-labeling is called the entire face irregularity strength of G, denoted by e f s(G). ...
doi:10.1016/j.akcej.2019.05.001
fatcat:p53esocsfrfutgn7gmbolareqy
H-Irregularity Strengths of Plane Graphs
2021
Symmetry
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We introduce two new graph characteristics, namely the vertex–face H-irregularity strength and edge–face H-irregularity strength of plane graphs. ...
In this paper, we study vertex–face and edge–face labelings of two-connected plane graphs. ...
Conflicts of Interest: The authors declare no conflict of interest. Symmetry 2021, 13, 229 ...
doi:10.3390/sym13020229
fatcat:vxyasxwx5nf43oecwt56giazci
Surface Morphology of Porous Cementitious Materials Subjected to Fast Dynamic Fractures
2011
Acta Polytechnica
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This paper presents a study of the surface height irregularities of cement pastes subjected to fast dynamic fractures. ...
The height irregularities are quantified by the values of the three-dimensional profile parameters. ...
Acknowledgement This work was supported by the Ministry of the Czech Republic under Contract no. ME09046 (Kontakt). ...
doaj:e8fe5c51bf5c43b8b1ad8831d270c36a
fatcat:i4b6pngknjgr3kbbbzmhpkm7dq
Page 6637 of Mathematical Reviews Vol. , Issue 92m
[page]
1992
Mathematical Reviews
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(H-AOS-C);
Lehel, J. (H-AOS-C); Schelp, R. H.
Irregularity strength of uniform hypergraphs.
J. Combin. Math. Combin. Comput. 11 (1992), 161-172. ...
Furthermore the irregularity strength of complete and complete equipartite hypergraphs is determined.”
92m:05143 05C70 05C35
Bartha, Miklés (H-SZEG-C); Gombas, Eva (H-SZEG-C)
A structure theorem for maximum ...
Page 4150 of Mathematical Reviews Vol. , Issue 92h
[page]
1992
Mathematical Reviews
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(H-AOS-C)
Irregularity strength of dense graphs.
Discrete Math. 91 (1991), no. 1, 45-59. ...
The irregularity strengths of complete graphs and of disjoint unions of complete graphs are studied. ...
Face-distinguishing facially-proper entire-labeling of plane graphs
2014
Applied Mathematical Sciences
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An entire-labeling (with positive integers) of a plane graph G is facedistinguishing, if w(f 1 ) = w(f 2 ) for any two adjacent faces f 1 and f 2 of G, where w(f ) denote the sum of labels of the vertices ...
In this paper we prove that every plane graph admits a face-distinguishing facially-proper entirelabeling with at most 12 labels. Moreover, we improve this bound for some classes of graphs. ...
The smallest integer k for which G admits an entire-labeling with labels 1, . . . , k such that w(f 1 ) = w(f 2 ) for any two faces f 1 and f 2 of G is called entire face irregularity strength, which was ...
doi:10.12988/ams.2014.46499
fatcat:mz7t6ek5vne5fisaqcvkynfht4
Study of deformations depending on the influence of the reinforcing filler of the metal-based composite material
2019
IOP Conference Series: Materials Science and Engineering
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high specific surface and irregular particle shape which contribute to an increase in adhesion when filling irregularities by the liquid phase. ...
The 27.9% increase of modulus of elasticity and the limit of proportionality compared to that for a simple metal bond is explained by the formation of a strong adhesive bond at the interface due to the ...
During deformation dislocations lead to the fact that the shift of atoms to a neighboring position does not occur simultaneously over the entire slip plane, but stretches in time. ...
doi:10.1088/1757-899x/643/1/012138
fatcat:nwzfm23af5aclg33ikvh5vullm
Tests of eight large H-shaped columns fabricated from carbon-manganese steel
1936
Journal of research of the National Bureau of Standards
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of the Port of N ew Yor k Authority requested the cooperation of the National Bureau of Standards in a n investigation of the strength and beha vior under load of large H-shap ed column s fabricated from ...
As part of its progra m to investigate the beha vior of compression m embers of carbon-manganese steel, such as were used for t he compression chords of th e Bayonne arch bridge, the bridge department ...
A study of the stress-strain graphs showing irregularities and the values of the yield strength shown in figure 3 indicates that the irregularities occurred in members having a lower yield strength than ...
doi:10.6028/jres.016.038
fatcat:wmdv3ma5n5h5ha5dgkafrcivp4
Counter electrojet features in the Brazilian sector: simultaneous observation by radar, digital sounder and magnetometers
2009
Annales Geophysicae
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Also, the EEJ ground strength has shown some cases of CEJ events, which been detected with the RESCO radar too. ...
From the difference between the horizontal component of magnetic field at SLZ station and the same component at EUS (EEJ ground strength) several cases of westward morning electrojet and its normal inversion ...
The corresponding EEJ ground strengths detached from the Fig. 1 were plotted in the bottom panel of each graph except on 26 June, when the EEJ ground strength was replaced by the H SLZ variation since ...
doi:10.5194/angeo-27-1593-2009
fatcat:to2iro6mifb7vowlumxs6bw5la
Numerical Simulation Virtual Test of Torsion Shear for Asphalt Mixture
2019
Advances in Materials Science and Engineering
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A 3D numerical model of the asphalt mixture contained irregular-shaped coarse aggregate, mineral gradation, and asphalt mortar; furthermore, the particle algorithm established the air void distribution ...
Based on the defects of existing algorithms, the method of random reconstruction of the existing 3D model of the asphalt mixture was improved, and a new reconstruction method was proposed. ...
was obtained by cutting along a plane half the width direction (x direction) of the cylindrical specimen, and the transverse section graph was obtained by cutting laterally along the half of the height ...
doi:10.1155/2019/8709849
fatcat:bl4dtp7y4jcubg6que25kznasy
Comparative Study of nJ- and μJ-Energy Level Femtosecond Lasers: Evaluation of Flap Adhesion Strength, Stromal Bed Quality, and Tissue Responses
2014
Investigative Ophthalmology and Visual Science
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Comparative study of nJ-and lJenergy level femtosecond lasers: evaluation of flap adhesion strength, stromal bed quality, and tissue responses. Invest Ophthalmol Vis Sci. PURPOSE. ...
The flap adhesion strength increased over time after treatment with both lasers. The nJ-energy pulses produced minimal wound healing reaction and apoptotic cells along the incision plane. ...
Acknowledgments The authors thank Denis Lobov (Ziemer Ophthalmic Systems) for his technical assistance during the operation of the Femto LDV ...
doi:10.1167/iovs.14-14434
pmid:24764066
fatcat:z7qwaertkfeutoh6dljehazt34
Page 4821 of Mathematical Reviews Vol. , Issue 83m
[page]
1983
Mathematical Reviews
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{For the entire collection see MR 83g:05003.}
de Werra, D. 83m:05079 Minimizing irregularities in sports schedules using graph theory. Discrete Appl. Math. 4 (1982), no. 3, 217-226. ...
Here such a graph § with 2352 vertices is constructed (five smaller ones are known).
Let V,, be the set of points and lines of the 7-point plane ?. Let Gieg be the group of collineations of ?. ...
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