Abstract
AbstractThe d‐distance face chromatic number of a connected plane graph is the minimum number of colors in such a coloring of its faces that whenever two distinct faces are at the distance at most d, they receive distinct colors. We estimate 1‐distance chromatic number for connected 4‐regular plane graphs. We show that 0‐distance face chromatic number of any connected multi‐3‐gonal 4‐regular plane graphs is 4. © 1995, John Wiley & Sons, Inc.
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