TY - JOUR
T1 - THE COLORING OF THE TREE OF COLORINGS
AU - Cherniavsky, Y
AU - Jarden, A
N1 - Times Cited in Web of Science Core Collection: 0 Total Times Cited: 0 Cited Reference Count: 3
PY - 2022
Y1 - 2022
N2 - In the present paper, we continue the investigation of a relation between trees and colorings that was introduced in [1]. In [1], two mappings were defined: a function C bar right arrow T(C) assigns to each coloring a tree, and a function (T, e) bar right arrow C(T, e) assigns to each tree with an enumeration a coloring. Here we show that the coloring C is not reconstructable from T(C), although the tree T is reconstructable from C(T, e), under certain restrictions on T and e.
AB - In the present paper, we continue the investigation of a relation between trees and colorings that was introduced in [1]. In [1], two mappings were defined: a function C bar right arrow T(C) assigns to each coloring a tree, and a function (T, e) bar right arrow C(T, e) assigns to each tree with an enumeration a coloring. Here we show that the coloring C is not reconstructable from T(C), although the tree T is reconstructable from C(T, e), under certain restrictions on T and e.
KW - tree in set theory
KW - additive colorings
U2 - 10.17654/0974165822050
DO - 10.17654/0974165822050
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SN - 0974-1658
VL - 35
SP - 37
EP - 44
JO - Advances and Applications in Discrete Mathematics
JF - Advances and Applications in Discrete Mathematics
ER -