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On the Packing Partitioning Problem on Directed Graphs
This work is aimed to continue studying the packing sets of digraphs via the perspective of partitioning the vertex set of a digraph into packing sets (which can be interpreted as a type of vertex coloring of digraphs) and focused on finding the minimum ...
Babak Samadi, Ismael G. Yero
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Graphs that are Critical for the Packing Chromatic Number
Given a graph G, a coloring c : V (G) → {1, …, k} such that c(u) = c(v) = i implies that vertices u and v are at distance greater than i, is called a packing coloring of G.
Brešar Boštjan, Ferme Jasmina
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Packing coloring of generalized Sierpinski graphs [PDF]
The packing chromatic number $\chi_{\rho}(G)$ of a graph $G$ is the smallest integer $c$ such that the vertex set $V(G)$ can be partitioned into sets $X_1, . . .
Danilo Korze, Aleksander Vesel
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On the Descriptive Complexity of Color Coding
Color coding is an algorithmic technique used in parameterized complexity theory to detect “small” structures inside graphs. The idea is to derandomize algorithms that first randomly color a graph and then search for an easily-detectable, small color ...
Max Bannach, Till Tantau
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Independence Number and Packing Coloring of Generalized Mycielski Graphs
For a positive integer k ⩾ 1, a graph G with vertex set V is said to be k-packing colorable if there exists a mapping f : V ↦ {1, 2, . . ., k} such that any two distinct vertices x and y with the same color f(x) = f(y) are at distance at least f(x) + 1 ...
Bidine Ez Zobair +2 more
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Be3Ru: Polar Multiatomic Bonding in the Closest Packing of Atoms
The new phase Be3Ru crystallizes with TiCu3‐type structure (space group Pmmn (59), a=3.7062(1) Å, b=4.5353(1) Å, c=4.4170(1) Å), a coloring variant of the hexagonal closest packing (hcp) of spheres.
Laura Agnarelli +7 more
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If S = (a1, a2, . . .) is a non-decreasing sequence of positive integers, then an S-packing coloring of a graph G is a partition of V (G) into sets X1, X2, . . .
Brešar Boštjan +3 more
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Packing Coloring of Some Undirected and Oriented Coronae Graphs
The packing chromatic number χρ(G) of a graph G is the smallest integer k such that its set of vertices V(G) can be partitioned into k disjoint subsets V1, . . . , Vk, in such a way that every two distinct vertices in Vi are at distance greater than i in
Laïche Daouya +2 more
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Batik Saud Effendy merupakan salah satu IKM batik di Kampoeng Batik Laweyan, Surakarta. Jenis batik yang diproduksi adalah batik cap dan batik tulis dengan sebagian besar jenis batik yang diproduksi adalah batik cap.
Dyah Ika Rinawati +2 more
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Sweet cherries are attractive fruits due to their taste, color, nutritional value, and beneficial health effects. Sweet cherry is a highly perishable fruit and all quality attributes and the level of health promoting compounds are affected by growth ...
Sofia Correia +3 more
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