Research output: Contribution to Journal/Magazine › Journal article › peer-review
Research output: Contribution to Journal/Magazine › Journal article › peer-review
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TY - JOUR
T1 - Regular Graphs of High Degree are 1-Factorizable.
AU - Chetwynd, Amanda G.
AU - Hilton, A. J. W.
PY - 1985/3
Y1 - 1985/3
N2 - It is a well-known conjecture that if a regular graph G of order 2n has degree d(G) satisfying d(G) n, then G is the union of edge-disjoint 1-factors. It is well known that this conjecture is true for d(G) equal to 2n—1 or 2n—2. We show here that it is true for d(G) equal to 2n — 3, 2n — 4, or 2n — 5. We also show that it is true for d(G) |V(G)|.
AB - It is a well-known conjecture that if a regular graph G of order 2n has degree d(G) satisfying d(G) n, then G is the union of edge-disjoint 1-factors. It is well known that this conjecture is true for d(G) equal to 2n—1 or 2n—2. We show here that it is true for d(G) equal to 2n — 3, 2n — 4, or 2n — 5. We also show that it is true for d(G) |V(G)|.
U2 - 10.1112/plms/s3-50.2.193
DO - 10.1112/plms/s3-50.2.193
M3 - Journal article
VL - Series
SP - 193
EP - 206
JO - Proceedings of the London Mathematical Society
JF - Proceedings of the London Mathematical Society
SN - 1460-244X
IS - 2
ER -