Split Graphs with Specified Dilworth Numbers
Canadian mathematical bulletin, Tome 27 (1984) no. 1, pp. 43-47
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Let G be a split graph with the independent part IG and the complete part KG . Suppose that the Dilworth number of (IG, ≼) with respect to the vicinal preorder ≼ is two and that of (KG, ≼) is an integer k. We show that G has a specified graph H k, defined in this paper, as an induced subgraph.
Nara, Chiê; Sato, Iwao. Split Graphs with Specified Dilworth Numbers. Canadian mathematical bulletin, Tome 27 (1984) no. 1, pp. 43-47. doi: 10.4153/CMB-1984-006-6
@article{10_4153_CMB_1984_006_6,
author = {Nara, Chi\^e and Sato, Iwao},
title = {Split {Graphs} with {Specified} {Dilworth} {Numbers}},
journal = {Canadian mathematical bulletin},
pages = {43--47},
year = {1984},
volume = {27},
number = {1},
doi = {10.4153/CMB-1984-006-6},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1984-006-6/}
}
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