THE λ-NUMBER OF THE CARTESIAN PRODUCT OF A COMPLETE GRAPH AND A CYCLE

DOI10.11568/kjm.2013.21.2.151OpenAlexW2171385678MaRDI QIDQ5016312

Byeong Moon Kim, Yoomi Rho, Byung Chul Song

Publication date: 13 December 2021

Published in: Korean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.11568/kjm.2013.21.2.151

zbMATH Keywords

cycleCartesian productcomplete graph\(L(2, 1)\)-labeling\( \lambda\)-number

Mathematics Subject Classification ID

Paths and cycles (05C38) Graph labelling (graceful graphs, bandwidth, etc.) (05C78)

Related Items (2)

\(L(2,1)\)-colorings and irreducible no-hole colorings of Cartesian product of graphs ⋮ On irreducible no-hole L(2, 1)-coloring of Cartesian product of trees with paths

Cites Work

• Distance two labelling and direct products of graphs
• Recent progress in mathematics and engineering on optimal graph labellings with distance conditions
• \(L (j, k)\)- and circular \(L(j, k)\)-labellings for the products of complete graphs
• \(L(2,1)\)-labelings of Cartesian products of two cycles
• Optimal \(L(d,1)\)-labelings of certain direct products of cycles and Cartesian products of cycles
• Labeling Products of Complete Graphs with a Condition at Distance Two
• Griggs and Yeh's Conjecture and $L(p,1)$-labelings
• Optimal Real Number Graph Labellings of a Subfamily of Kneser Graphs
• $L(2,1)$-Labeling of Hamiltonian graphs with Maximum Degree 3
• Labelling Graphs with a Condition at Distance 2
• The L(2,1)-labeling and operations of graphs
• An extension of the channel-assignment problem: L(2, 1)-labelings of generalized Petersen graphs
• On the $\lambda$-Number of $Q_n $ and Related Graphs

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