Perfect 2‐colorings of Hamming graphs
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DOI: 10.1002/jcd.21771
Abstract: We consider the problem of existence of perfect 2-colorings (equitable 2-partitions) of Hamming graphs with given parameters. We start with conditions on parameters of graphs and colorings that are necessary for their existence. Next we… read more here.
Keywords: hamming graphs; colorings hamming; perfect colorings;
The Square of Some Generalized Hamming Graphs
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DOI: 10.3390/math11112487
Abstract: In this paper, we study the square of generalized Hamming graphs by the properties of abelian groups, and characterize some isomorphisms between the square of generalized Hamming graphs and the non-complete extended p-sum of complete… read more here.
Keywords: generalized hamming; hamming graphs; square generalized; graphs ... See more keywords