Results 11 to 20 of about 1,343 (197)

Edge-Transitive Lexicographic and Cartesian Products [PDF]

open access: yesDiscussiones Mathematicae Graph Theory, 2016
In this note connected, edge-transitive lexicographic and Cartesian products are characterized. For the lexicographic product G ◦ H of a connected graph G that is not complete by a graph H, we show that it is edge-transitive if and only if G is edge ...
Imrich Wilfried   +3 more
doaj   +7 more sources

Some diameter notions in lexicographic product [PDF]

open access: yesElectronic Journal of Graph Theory and Applications, 2018
Many graphs such as hypercubes, star graphs, pancake graphs, grid, torus etc are known to be good interconnection network topologies. In any network topology, the vertices represent the processors and the edges represent links between the processors. Two
Chithra MR   +2 more
doaj   +4 more sources

Infinite lexicographic products [PDF]

open access: yesAnnals of Pure and Applied Logic, 2022
20 pages, 3 ...
Meir, Nadav
openaire   +4 more sources

Hamiltonian decomposition of lexicographic product [PDF]

open access: yesJournal of Combinatorial Theory, Series B, 1981
AbstractIn this paper we prove the conjecture of J.-C. Bermond (Ann. Discrete Math. 36 (1978), 21–28): If two graphs are decomposable into Hamiltonian cycles, then their lexicographic product is decomposable, too.
Zsolt Baranyai, Gy. R. Szász
openaire   +3 more sources

Game chromatic number of lexicographic product graphs [PDF]

open access: yesAKCE International Journal of Graphs and Combinatorics, 2015
In this paper, we determine the exact values of the game chromatic number of lexicographic product of path P2 with path Pn, star K1,n and wheel Wn. Also we give an upper bound for the game chromatic number of lexicographic product of any two simple ...
R. Alagammai, V. Vijayalakshmi
doaj   +2 more sources

On matching extendability of lexicographic products [PDF]

open access: yesRAIRO - Operations Research, 2017
Summary: A graph \(G\) of even order is \(\ell\)-extendable if it is of order at least \(2\ell+2\), contains a matching of size \(\ell\), and if every such matching is contained in a perfect matching of \(G\). In this paper, we study the extendability of lexicographic products of graphs.
Nina Chiarelli   +4 more
core   +7 more sources

Star-extremal graphs and the lexicographic product [PDF]

open access: yesDiscrete Mathematics, 1996
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Guogang Gao, Xuding Zhu
openaire   +2 more sources

A lexicographic product for signed graphs [PDF]

open access: yesAustralas. J Comb., 2019
Summary: A signed graph is a pair \(\Gamma=(G,\sigma)\), where \(G=(V(G),E(G))\) is a graph and \(\sigma:E(G)\rightarrow\{+1,-1\}\) is the sign function on the edges of \(G\). The notion of composition (also known as lexicographic product) of two signed graphs \(\Gamma\) and \(\Lambda=(H,\tau)\) already exists in literature, yet it fails to map ...
Brunetti M, Cavaleri M, Donno A.
openaire   +5 more sources

The pre-hull number and lexicographic product [PDF]

open access: yesDiscrete Mathematics, 2012
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Peterin, Iztok, Iztok Peterin
openaire   +3 more sources

The Tshivenḓa-English Ṱahalusamaipfi/Dictionary as a Product of South African Lexicographic Processes [PDF]

open access: yesLexikos, 2011
<p>ABSTRACT: The publication of a dictionary is regarded as the result of a lexicographic process. Three subtypes of a lexicographic process have been noted, namely the primary comprehensive, the secondary comprehensive and the dictionary specific ...
Mbulungeni Madiba, Dion Nkomo
doaj   +3 more sources

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