Results 31 to 40 of about 77,249 (276)
Complexity of C_k-Coloring in Hereditary Classes of Graphs [PDF]
For a graph F, a graph G is F-free if it does not contain an induced subgraph isomorphic to F. For two graphs G and H, an H-coloring of G is a mapping f:V(G) -> V(H) such that for every edge uv in E(G) it holds that f(u)f(v)in E(H).
Chudnovsky, Maria +4 more
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Perfectly colorable graphs [PDF]
2 pages, 1 ...
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Coloring Graphs in Oriented Coloring of Cubic Graphs
AbstractOriented coloring of an oriented graph G is an arc-preserving homomorphism from G into a tournament H. We say that the graph H is universal for a family of oriented graphs $$\mathcal {C}$$ C if for every $$G\in \mathcal {C}$$ G ∈ C
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On Rainbow Antimagic Coloring of Joint Product of Graphs
Let be a connected graph with vertex set and edge set . A bijection from to the set is a labeling of graph . The bijection is called rainbow antimagic vertex labeling if for any two edge and in path , where and .
Brian Juned Septory +3 more
doaj +1 more source
Solutions of Some L(2, 1)-Coloring Related Open Problems
An L(2, 1)-coloring (or labeling) of a graph G is a vertex coloring f : V (G) → Z+ ∪ {0} such that |f(u) − f(v)| ≥ 2 for all edges uv of G, and |f(u)−f(v)| ≥ 1 if d(u, v) = 2, where d(u, v) is the distance between vertices u and v in G.
Mandal Nibedita, Panigrahi Pratima
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AN INCLUSIVE LOCAL IRREGULARITY VERTEX COLORING OF BOOK GRAPH FAMILY
Let is a simple and connected graph with as vertex set and as edge set. Vertex labeling on inclusive local irregularity vertex coloring is defined by mapping and the function of the inclusive local irregularity vertex coloring is with .
Robiatul Adawiyah +2 more
doaj +1 more source
Acyclic edge-coloring using entropy compression [PDF]
An edge-coloring of a graph G is acyclic if it is a proper edge-coloring of G and every cycle contains at least three colors. We prove that every graph with maximum degree Delta has an acyclic edge-coloring with at most 4 Delta - 4 colors, improving the ...
Aline Parreau +14 more
core +3 more sources
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Albertson, Michael O., Moore, Emily H.
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Topological and Graph-coloring Conditions on the Parameter-independent Stability of Second-order Networked Systems [PDF]
In this paper, we study parameter-independent stability in qualitatively heterogeneous passive networked systems containing damped and undamped nodes.
Bürger, Mathias +3 more
core +2 more sources
On facial unique-maximum (edge-)coloring [PDF]
A facial unique-maximum coloring of a plane graph is a vertex coloring where on each face $\alpha$ the maximal color appears exactly once on the vertices of $\alpha$.
Andova, Vesna +4 more
core +3 more sources

