Ingratiate 发表于 2025-3-30 09:07:00

Decomposition of the Johnson Graphs into Graph-Pairs of Order 4, the .-element subsets of a .-element set, and two vertices are adjacent if the intersection of the corresponding subsets contains . elements. We show necessary and sufficient conditions for .(., 2) to admit a decomposition into graph-pairs of order 4.

多山 发表于 2025-3-30 13:53:40

,Multicore Graphs: Characterization and Properties,pp. 517:30–52 (2017)) [.]. We prove that the multicore graphs are the .-free chordal graphs and we present a characterization of the class which provides a simple linear time recognition algorithm. We also show its interrelation with other subclasses of chordal graphs: the clique-corona graphs and the starlike graphs.

apropos 发表于 2025-3-30 17:13:46

(2, 3)-Cordial Oriented Hypercubes, a (2, 3)-cordial oriented hypercube for any dimension divisible by 3. Next, we provide examples of (2, 3)-cordial oriented hypercubes of dimension not divisible by 3 and state a conjecture on existence for dimension .. We close by presenting the only 3D oriented hypercubes up to isomorphism that are not (2, 3)-cordial.

Pepsin 发表于 2025-3-30 21:11:07

,On the Locating Rainbow Connection Number of the Comb Product with Complete Graphs or Trees, and define the locating rainbow connection number within this framework. Our main results establish tight upper and lower bounds for . in the context of comb products. Additionally, we determine the locating rainbow connection number for the comb product of an arbitrary graph with a complete graph or a tree.

BLANC 发表于 2025-3-31 01:00:38

,Cycle-Compelling Colorings of Graphs,tains a cycle. The cycle-compelling number is defined to be the minimum . such that some .-coloring is cycle-compelling. We provide some general bounds and algorithmic results on this and related parameters. We also investigate the value in specific graph families including cubic graphs, disjoint union of cliques, and outerplanar graphs.

侵害 发表于 2025-3-31 08:38:26

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PACK 发表于 2025-3-31 10:01:42

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Small-Intestine 发表于 2025-3-31 16:04:18

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阻塞 发表于 2025-3-31 19:37:01

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Anticlimax 发表于 2025-3-31 23:52:00

Jan Dijksterhuis,Robert A. Samson a (2, 3)-cordial oriented hypercube for any dimension divisible by 3. Next, we provide examples of (2, 3)-cordial oriented hypercubes of dimension not divisible by 3 and state a conjecture on existence for dimension .. We close by presenting the only 3D oriented hypercubes up to isomorphism that are not (2, 3)-cordial.
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