Name
Abstract | ||
|---|---|---|
Let m ≥ 2, n ≥ 2 and q ≥ 2 be positive integers. Let S
r
and S
b
be two disjoint sets of points in the plane such that no three points of S
r
∪ S
b
are collinear, |S
r
| = nq, and |S
b
| = mq. This paper shows that Kaneko and Kano’s conjecture is true, i.e., S
r
∪ S
b
can be partitioned into q subsets P
1,P
2,...,P
q
satisfying that: (i) conv(P
i
) ∩ conv(P
j
) = ∅ for all 1 ≤ i j ≤ q; (ii) |P
i
∩ S
r
|= n and |P
i
∩ S
b
| = m for all 1 ≤ i ≤ q. This is a generalization of 2-dimension Ham Sandwich Theorem.
|
Year | DOI | Venue |
|---|---|---|
1998 | 10.1007/978-3-540-46515-7_11 | JCDCG |
Keywords | Field | DocType |
convex pieces,2-dimension ham sandwich theorem,satisfiability | Ham sandwich theorem,Integer,Discrete mathematics,Combinatorics,Disjoint sets,Regular polygon,Problem complexity,Conjecture,Mathematics | Conference |
Volume | ISSN | ISBN |
1763 | 0302-9743 | 3-540-67181-1 |
Citations | PageRank | References |
19 | 1.94 | 2 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Hiro Ito | 1 | 290 | 39.95 |
| Hideyuki Uehara | 2 | 54 | 12.14 |
| Mitsuo Yokoyama | 3 | 66 | 9.51 |