COUNTING MAXIMAL DISTANCE-INDEPENDENT SETS IN GRID GRAPHS

被引：3
|
作者：
Euler, Reinhardt [1 ,2 ]
Oleksik, Pawel [3 ]
Skupien, Zdzislaw [4 ]
机构：
[1] Univ Europeenne Bretagne, F-29285 Brest, France
[2] Univ Brest, CNRS, UMR 6285, Lab STICC, F-29285 Brest, France
[3] AGH Univ Sci & Technol, Fac Geol Geophys & Environm Protect, Dept Geoinformat & Appl Comp Sci, PL-30059 Krakow, Poland
[4] AGH Univ Sci & Technol, PL-30059 Krakow, Poland
来源：
DISCUSSIONES MATHEMATICAE GRAPH THEORY | 2013年 / 33卷 / 03期
关键词：
independent set; grid graph; Fibonacci; Padovan numbers; transfer matrix method;
D O I：
10.7151/dmgt.1707
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Previous work on counting maximal independent sets for paths and certain 2-dimensional grids is extended in two directions: 3-dimensional grid graphs are included and, for some/any l is an element of N, maximal distance-l independent (or simply: maximal l-independent) sets are counted for some grids. The transfer matrix method has been adapted and successfully applied.
引用
收藏
页码：531 / 557
页数：27
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