Titlebook: Combinatorics, Graph Theory and Computing; SEICCGTC 2021, Boca Frederick Hoffman,Sarah Holliday,John Wierman Conference proceedings 2024 T

Ingratiate

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

,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

(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

,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

,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

PACK

Small-Intestine

阻塞

Anticlimax

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.