منابع مشابه
Generalized Bounded Tree Cover of a Graph
A tree cover of a graph is a collection of subgraphs such that each vertex is a part of at least one subgraph and each subgraph is a tree. The bounded tree cover problem (BTC) finds a tree cover with minimum number of trees of bounded weight. This paper considers several generalized versions of BTC. The first problem deals with graphs having multiple metric weight functions. Strong and weak tre...
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The parameterized complexity of the FACE COVER problem is considered. The input to this problem is a plane graph G with n vertices. The question asked is whether, for a given parameter value k, there exists a set of k or fewer faces whose boundaries collectively cover (contain) every vertex in G. Early attempts achieved run times of O∗(12k) or worse, by reducing the problem into a special form ...
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Joret, Micek, Milans, Trotter, Walczak, and Wang recently asked if there exists a constant d such that if P is a poset with cover graph of P of pathwidth at most 2, then dim(P ) ≤ d. We answer this question in the affirmative. We also show that if P is a poset containing the standard example S5 as a subposet, then the cover graph of P has treewidth at least 3.
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We show that the following (equivalent) problems are P-complete: 1. Does a given connuent NCE graph grammar only generate graphs of bounded tree-width? and 2. is the graph language generated by a given connuent NCE graph grammar an HR language? This settles the complexity of these important problems on graph grammars .
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در این پایان نامه رنگ آمیزی دینامیکی یک گراف را بیان و مطالعه می کنیم. یک –kرنگ آمیزی سره ی رأسی گراف g را رنگ آمیزی دینامیکی می نامند اگر در همسایه های هر رأس v?v(g) با درجه ی حداقل 2، حداقل 2 رنگ متفاوت ظاهر شوند. کوچکترین عدد صحیح k، به طوری که g دارای –kرنگ آمیزی دینامیکی باشد را عدد رنگی دینامیکی g می نامند و آنرا با نماد ?_2 (g) نمایش می دهند. مونت گمری حدس زده است که تمام گراف های منتظم ...
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ژورنال
عنوان ژورنال: Journal of Graph Algorithms and Applications
سال: 2017
ISSN: 1526-1719
DOI: 10.7155/jgaa.00416