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Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 10/2015, Volume 430, Issue 1, pp. 60 - 75
Under suitable restrictions on the higher order mean curvatures, we establish uniqueness results for entire graphs in a warped product space satisfying a... 
Entire graphs | Higher order mean curvatures | Minimal graphs | Height function | Warped products | Radial graphs | MATHEMATICS | CONSTANT MEAN-CURVATURE | MATHEMATICS, APPLIED | SPACELIKE HYPERSURFACES | COMPLETE VERTICAL GRAPHS
Journal Article
Discrete Mathematics, ISSN 0012-365X, 11/2016, Volume 339, Issue 11, pp. 2826 - 2831
Let G=(V,E,F) be a connected plane graph, with vertex set V, edge set E, and face set F. For X∈{V,E,F,V∪E,V∪F,E∪F,V∪E∪F}, two distinct elements of X are... 
List colouring | Total colouring | Entire colouring | Facial colouring | Plane graph | MATHEMATICS | THEOREM | PROOF | CHOOSABILITY | EDGE | Theorems | Planes | Facial | Lists | Graphs | Graph theory | Boundaries | Colour
Journal Article
Discrete Mathematics, Algorithms and Applications, ISSN 1793-8309, 06/2018, Volume 10, Issue 3
Journal Article
Journal of Combinatorial Theory, Series B, ISSN 0095-8956, 2011, Volume 101, Issue 6, pp. 490 - 501
It was conjectured by Kronk and Mitchem in 1973 that simple plane graphs of maximum degree Δ are entirely ( Δ + 4 ) -colourable, i.e., the vertices, edges, and... 
Plane graph | Vertex–edge–face colouring | Entire colouring | Vertex-edge-face colouring | MATHEMATICS | TOTAL CHROMATIC NUMBER | THEOREM | PROOF | MAXIMUM DEGREE-7 | CHOOSABILITY | EDGE | FACES | CONJECTURE
Journal Article
Transactions of the American Mathematical Society, ISSN 0002-9947, 10/2008, Volume 360, Issue 10, pp. 5603 - 5627
Journal Article
Discrete Mathematics, ISSN 0012-365X, 02/2016, Volume 339, Issue 2, pp. 626 - 631
Let G=(V,E,F) be a connected, loopless, and bridgeless plane graph, with vertex set V, edge set E, and face set F. For X∈{V,E,F,V∪E,V∪F,E∪F,V∪E∪F}, two... 
Edge–face colouring | Entire colouring | Plane graph | Facial colouring | Edge-face colouring | MATHEMATICS | MAXIMUM DEGREE-7 | EDGES | FACES
Journal Article
Discrete Mathematics, ISSN 0012-365X, 12/2014, Volume 336, pp. 46 - 56
A plane graph is called entirely k-colorable if for each x∈V(G)∪E(G)∪F(G), we can use k colors to assign each element x a color such that any two elements that... 
Maximum degree | Entire coloring | Plane graph | MATHEMATICS
Journal Article
Bulletin of the Brazilian Mathematical Society, ISSN 1678-7544, 06/2017, Volume 48, Issue 2, pp. 187 - 198
In this paper, we provided conditions for an entire constant mean curvature Killing graph lying inside a possible unbounded region to be necessarily a slice. 
Entire graph | Constant mean curvature | Killing graph | Unbounded region | MATHEMATICS
Journal Article
Journal de mathématiques pures et appliquées, ISSN 0021-7824, 01/2015, Volume 103, Issue 1, pp. 219 - 227
We show that under certain curvature conditions of the ambient space an entire Killing graph of constant mean curvature lying inside a slab must be a totally... 
Mean curvature equation | Entire graphs | Killing graphs | MATHEMATICS | MATHEMATICS, APPLIED | OPERATORS
Journal Article
Applied Mathematics and Information Sciences, ISSN 1935-0090, 2015, Volume 9, Issue 1, pp. 263 - 267
Journal Article
Journal of Algebra and its Applications, ISSN 0219-4988, 04/2019, Volume 18, Issue 4
In this paper, we introduce the entire graph of a module with respect to a submodule, as a generalization of the total graph of a commutative ring in the sense... 
girth | total graph | zero-divisor graph | entire graph | Diameter | MATHEMATICS | COMMUTATIVE RING | MATHEMATICS, APPLIED
Journal Article
Journal of Combinatorial Optimization, ISSN 1382-6905, 4/2016, Volume 31, Issue 3, pp. 1221 - 1240
Journal Article
Applied Mathematics and Computation, ISSN 0096-3003, 08/2017, Volume 307, pp. 232 - 238
A face irregular entire k-labeling of a 2-connected plane graph G is a labeling of vertices, edges and faces of G with labels from the set {1,2,…,k} in such... 
Face irregular entire labeling | Irregularity strength | Irregular assignment | Entire face irregularity strength | DENSE GRAPHS | MATHEMATICS, APPLIED | LABELINGS
Journal Article
Discrete Mathematics, ISSN 0012-365X, 11/2016, Volume 339, Issue 11, pp. 2742 - 2753
A plane graph G is entirely k-choosable if, for every list L of colors satisfying L(x)=k for all x∈V(G)∪E(G)∪F(G), there exists a coloring which assigns to... 
Entire choosability | Maximum degree | Plane graph | ENTIRE CHROMATIC NUMBER | MATHEMATICS | Coloring | Graphs | Graph theory | Planes | Lists | Mathematical analysis
Journal Article
Theoretical Computer Science, ISSN 0304-3975, 08/2017, Volume 689, pp. 108 - 116
•We prove that a toroidal graph with Δ≥10 is entirely (Δ+2)-colorable.•We establish a structural lemma about toroidal graphs.•We provide a polynomial-time... 
Maximum degree | Embedded graph | Torus | Entire coloring | PLANE GRAPHS | COMPUTER SCIENCE, THEORY & METHODS | Computer science | Business schools | Algorithms
Journal Article
Journal of Graph Theory, ISSN 0364-9024, 07/2013, Volume 73, Issue 3, pp. 305 - 317
Let G=(V,E,F) be a plane graph with the sets of vertices, edges, and faces V, E, and F, respectively. If one can color all elements in V∪E∪F using k colors so... 
plane graph | maximum degree | entire coloring | discharging method
Journal Article
Publicacions Matematiques, ISSN 0214-1493, 2016, Volume 60, Issue 2, pp. 273 - 287
In this work we establish sufficient conditions to ensure that an entire spacelike graph immersed with constant mean curvature in a Lorentzian product space,... 
Entire spacelike H-graphs | Lorentzian product spaces | Mean curvature | Spacelike hypersurfaces | MATHEMATICS | CONSTANT MEAN-CURVATURE | spacelike hypersurfaces | entire spacelike H-graphs | MAXIMAL SURFACES | HYPERSURFACES | mean curvature | MINKOWSKI SPACE | ROBERTSON-WALKER SPACETIMES | RIEMANNIAN-MANIFOLDS | UNIQUENESS
Journal Article
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