Results 81 to 90 of about 1,167,245 (202)
Distance-regular graphs of hamming type
An H(e,\(\lambda\),k)-graph is defined to be a distance-regular graph with the following intersection array \[ \left\{\begin{matrix} 0 & 1 & 2 &... & e-1 & e & *...* \\ 0 & \lambda & 2\lambda & ... & (e-1)\lambda & * & *...* & \\ k & * & * & ... & * & * & *...* \end{matrix}\right\} \] where * takes an arbitrary value under the restriction that each ...
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Combinatorial PDEs on Hamming graphs
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BARLETTA, Elisabetta, DRAGOMIR, Sorin
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Characterizing subgraphs of Hamming graphs
AbstractCartesian products of complete graphs are known as Hamming graphs. Using embeddings into Cartesian products of quotient graphs we characterize subgraphs, induced subgraphs, and isometric subgraphs of Hamming graphs. For instance, a graph G is an induced subgraph of a Hamming graph if and only if there exists a labeling of E(G) fulfilling the ...
Klavžar, Sandi, Peterin, Iztok
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Advanced quantum computers have the capability to perform practical quantum computing to address specific problems that are intractable for classical computers.
Jieyi Chen +6 more
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Antibandwidth and cyclic antibandwidth of Hamming graphs
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Dobrev, Stefan +4 more
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CONTINUITY OF UNIVERSALLY MEASURABLE HOMOMORPHISMS
Answering a longstanding problem originating in Christensen’s seminal work on Haar null sets [Math. Scand. 28 (1971), 124–128; Israel J. Math. 13 (1972), 255–260; Topology and Borel Structure.
CHRISTIAN ROSENDAL
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Invariant Hamming graphs in infinite quasi-median graphs
A Hamming graph is a Cartesian product of complete graphs. The main results of the paper are: (i) a quasi-median graph without isometric rays contains a Hamming graph which is invariant under any automorphism; and (ii) any contraction of a rayless quasi-median graph stabilizes a finite Hamming graph.
Chastand, Marc, Polat, Norbert
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Isometric embeddings in Hamming graphs
An \(O(n^ 3)\)-algorithm is established which embeds a given graph isometrically into a Hamming graph (i.e., a Cartesian product of complete graphs) whenever possible, and recognizes non-embeddable graphs. From the algorithm several characterizations of the embeddable graphs are derived.
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The retracts of Hamming graphs
All graphs considered are finite undirected simple ones. The object of this article is the investigation of the so-called quasimedian graphs. In detail known results, especially of \textit{H. M. Mulder}, are presented, the essential concepts and their properties are placed at disposal and to it many definitions are necessary, the most important of them
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\(L(h,k)\)-labelings of Hamming graphs
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Huang, L.-H., Chang, G. J.
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