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Titlebook: Mathematical Foundations of Computer Science 2014; 39th International S Erzsébet Csuhaj-Varjú,Martin Dietzfelbinger,Zoltán Conference proce

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Let . be an edge-bicolored graph where each etaneously satisfies given properties for .’s red graph and blue graph. In particular, we consider . problem — find from . a .-vertex induced subgraph whose red and blue graphs are both connected, and . problem — delete at most . vertices to simultaneously disconnect red and blue graphs of ...We will
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On the Limits of Depth Reduction at Depth 3 Over Small Finite Fieldsepth three ∑ ∏ ∑ circuit of size . . Over fixed-size finite fields, Grigoriev and Karpinski proved that any ∑ ∏ ∑ circuit that computes the determinant (or the permanent) polynomial of a .×. matrix must be of size 2.. In this paper, for an explicit polynomial in VP (over fixed-size finite fields), w
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Hitting Forbidden Subgraphs in Graphs of Bounded Treewidthset . ⊆ .(.) that hits all subgraphs of . isomorphic to .. In the colorful variant of the problem, each vertex of . is precolored with some color from .(.) and we require to hit only .-subgraphs with matching colors. Standard techniques (e.g., Courcelle’s theorem) show that, for every fixed . and th
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On the Complexity of Some Ordering Problemstex encoding is of additional importance to represent a given input graph in small size. The computational complexity of the vertex encoding problem is unknown but in the paper a first step is done to determine its complexity by showing that a restricted case is NP-hard.
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