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10.1002/jgt.21851

http://scihub22266oqcxt.onion/10.1002/jgt.21851
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suck abstract from ncbi


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pmid28615799      J+Graph+Theory 2015 ; 80 (4): 287-98
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  • Monochromatic Clique Decompositions of Graphs #MMPMID28615799
  • Liu H; Pikhurko O; Sousa T
  • J Graph Theory 2015[Dec]; 80 (4): 287-98 PMID28615799show ga
  • Let G be a graph whose edges are colored with k colors, and H=(H1,?,Hk) be a k?tuple of graphs. A monochromaticH?decomposition of G is a partition of the edge set of G such that each part is either a single edge or forms a monochromatic copy of Hi in color i, for some 1?i?k. Let ?k(n,H) be the smallest number ?, such that, for every order?n graph and every k?edge?coloring, there is a monochromatic H?decomposition with at most ? elements. Extending the previous results of Liu and Sousa [Monochromatic Kr?decompositions of graphs, J Graph Theory 76 (2014), 89?100], we solve this problem when each graph in H is a clique and n?n0(H) is sufficiently large.
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