Abstract | ||
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We prove that for all graphs with at most (3.75 - o(1))n edges there exists a 2-coloring of the edges such that every monochromatic path has order less than n. This was previously known to be true for graphs with at most 2.5n - 7.5 edges. We also improve on the best-known lower bounds in the r-color case. |
Year | DOI | Venue |
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2022 | 10.37236/9804 | ELECTRONIC JOURNAL OF COMBINATORICS |
DocType | Volume | Issue |
Journal | 29 | 1 |
ISSN | Citations | PageRank |
1077-8926 | 0 | 0.34 |
References | Authors | |
0 | 2 |
Name | Order | Citations | PageRank |
---|---|---|---|
Deepak Bal | 1 | 35 | 7.32 |
Louis DeBiasio | 2 | 28 | 7.49 |