In graph theory, a k-degenerate graph is an undirected graph in which every subgraph has at least one vertex of degree at most k: that is, some vertex in the subgraph touches k or fewer of …

一个 算子，在一定条件下，作用于任何元素时都得到0，也可以叫退化。 总之，是一个东西的功能变弱了，就叫退化。 首先，需要说明一下，线性规划中的 退化解 并不是一个几何特征，因为 …

May 1, 2024 · In this paper logarithms are binary. For an integer k, a graph G is said to be k-degenerate if every subgraph of G has a vertex of degree at most k. The minimum k such that …

We prove that for every constant M there is a graph with minimum degree M which is spectrally 50-degenerate. This settles a problem of Dvorak and Mohar. The spectral radius (G) of a ( …

Nov 14, 2022 · Gallai's path decomposition conjecture states that if G is a connected graph on n vertices, then the edges of G can be decomposed into at most ⌈n 2⌉ paths. A graph is said to …

In this paper, we study the path decomposition in 2-degenerate graphs. The class of 2-degenerate graphs properly include outer-planar graphs, series-parallel graphs and planar graphs of girth …

A path is a walk in which all vertices and edges are distinct. The number of edges in a path P is called its length and is denoted as |P|. The notation v iPv j denotes the subpath of the path P …

May 25, 2015 · Ramsey numbers of degenerate graphs By Choongbum Lee Abstract A graph is d-degenerate if all its subgraphs have a vertex of degree at most d. We prove that there exists …

Jan 1, 2016 · Degeneracy graphs have been applied to help solve the neighborhood problem, to explain why cycling in LP occurs, to develop algorithms to determine two-sided shadow prices, …

Geometry of degeneracy (bottom of pg 106) From the example: degeneracy in 2 -dimension is represented by having more than two lines intersecting at an extreme point. = ) there is a …