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Abstract:
Suppose that G is a planar graph with maximum degree Delta. In this paper it is proved that G is total-(Delta + 2)-choosable if (1) Delta a parts per thousand yen 7 and G has no adjacent triangles (i.e., no two triangles are incident with a common edge); or (2) Delta a parts per thousand yen 6 and G has no intersecting triangles (i.e., no two triangles are incident with a common vertex); or (3) Delta a parts per thousand yen 5, G has no adjacent triangles and G has no k-cycles for some integer k a {5, 6}.
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Source :
ACTA MATHEMATICA SINICA-ENGLISH SERIES
ISSN: 1439-8516
CN: 11-2039/O1
Year: 2011
Issue: 12
Volume: 27
Page: 2437-2444
0 . 4 7
JCR@2011
0 . 8 0 0
JCR@2023
ESI Discipline: MATHEMATICS;
JCR Journal Grade:3
CAS Journal Grade:4
Cited Count:
WoS CC Cited Count: 3
SCOPUS Cited Count: 3
ESI Highly Cited Papers on the List: 0 Unfold All
WanFang Cited Count:
Chinese Cited Count:
30 Days PV: 1
Affiliated Colleges: