Taiwanese Journal of Mathematics

EXACT PROFILE VALUES OF SOME GRAPH COMPOSITIONS

Yung-Ling Lai

Full-text: Open access

Abstract

It is known that the determination of the profile for arbitrary graphs is NP-complete. The {\em composition } of two graphs $G$ and $H$ is the graph with vertex set $V(G)\times V(H)$ and $(u_1,v_1)$ is adjacent to $(u_2,v_2)$ if either $u_1$ is adjacent to $u_2$ in $G$ or $u_1=u_2$ and $v_1$ is adjacent to $v_2$ in $H$. The exact values of the profile of the composition of a path with other graphs, a cycle with other graphs, a complete graph with other graphs and a complete bipartite graph with other graphs are established.

Article information

Source
Taiwanese J. Math., Volume 6, Number 1 (2002), 127-134.

Dates
First available in Project Euclid: 18 July 2017

Permanent link to this document
https://projecteuclid.org/euclid.twjm/1500407404

Digital Object Identifier
doi:10.11650/twjm/1500407404

Mathematical Reviews number (MathSciNet)
MR1884459

Zentralblatt MATH identifier
0999.05089

Subjects
Primary: 05C50: Graphs and linear algebra (matrices, eigenvalues, etc.) 05C78: Graph labelling (graceful graphs, bandwidth, etc.) 05C85: Graph algorithms [See also 68R10, 68W05] 68R10: Graph theory (including graph drawing) [See also 05Cxx, 90B10, 90B35, 90C35] 94C15: Applications of graph theory [See also 05Cxx, 68R10]

Keywords
profile composition path cycle complete graph complete bipartite graph

Citation

Lai, Yung-Ling. EXACT PROFILE VALUES OF SOME GRAPH COMPOSITIONS. Taiwanese J. Math. 6 (2002), no. 1, 127--134. doi:10.11650/twjm/1500407404. https://projecteuclid.org/euclid.twjm/1500407404


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