Titlebook: ;

围裙

Günther Bernatzky,Gunter Kreutzber of such colorings with . colors can be done by counting so-called Neumann-Lara-coflows (NL-coflows), which build a polynomial in .. We will present a representation of this polynomial using totally cyclic subdigraphs, which form a graded poset .. Furthermore we will decompose our NL-coflow polyn

责任

Günther Bernatzky,Gunter Kreutzwith colors in {1, 2, …, .}. The problem is known to be NP-hard even for . = 3 within the class of 3-regular planar bipartite graphs and for . = 4 within the class of chordal bipartite graphs. In 2015 Huang, Johnson and Paulusma asked for the complexity of . 3. in the class of chordal bipartite grap

DRILL

https://doi.org/10.1007/978-3-0348-5824-3 provide infinite families of trees for which the minimum number of colors to achieve the total chromatic sum is equal to the total chromatic number. We construct infinite families of trees for which these numbers are not equal, disproving the conjecture from 2012.

CLAM

https://doi.org/10.1007/978-3-531-19652-7 coloring is the most naturally used one. In greedy coloring, vertices are traversed following an order and hence performance of it highly depends on finding a good order. In this paper, we propose an . (ISH) which considers some .. random orders and for each of them it calls a . (SS) procedure with

GEST

过度

隐藏

https://doi.org/10.1007/978-3-662-66797-2 an interval coloring problem in the edge intersection graph of these paths. The interval chromatic number equals the smallest size of a spectrum such that a proper interval coloring is possible, the weighted clique number is a natural lower bound. Graphs where both parameters coincide for all possi

有害处

https://doi.org/10.1007/978-3-663-02711-9 instigate the polyhedral investigation of the convex hull of fixed cardinality stable sets, and we begin by introducing a large class of valid inequalities to the natural integer programming formulation of the problem.

过于光泽

https://doi.org/10.1007/978-3-476-03728-2e been broadly studied and extended to hypergraphs classes. A generalized power graph . of a graph . is a .-uniform hypergraph constructed by blowing up each vertex of . into a .-set of vertices and then adding . − 2. vertices of degree one to each edge, where . ≥ 2.. A natural question is whether t

现任者

https://doi.org/10.1007/978-3-476-03612-4reserving continuous motions of the joints arise from isometries. A rigid framework is isostatic if deleting any single edge results in a flexible framework. Generically, rigidity depends only on the graph and we say an Assur graph is a pinned isostatic graph with no proper pinned isostatic subgraph