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It is well known that the edge cover polytope is integral on simple graphs. I am wondering whether this also holds for graphs with self-loops. Here is a Linear Relaxation...

Asked on 12/24/2021

0A simple path is a path that doesn't revisit a node. A simple cycle is a cycle that doesn't revisit an edge. You are given an undirected graph G which...

Asked on 12/19/2021 by Craig Gidney

0This question has inspired the following two questions.Given a first order logic language, with only unary predicates, finite number of variables, $forall$ and $exists$ i.e no...

Asked on 11/28/2021

2Let $G$ be a context free grammar in Chomsky normal form (CNF) with language $L(G)subseteq Sigma^n$. In other words, all strings generate by $G$ have size $n$. Say that...

Asked on 11/26/2021 by Mateus de Oliveira Oliveira

2Suppose A and B are initial Boolean matrices. Let C = A*B. Suppose one can perform the sequence of the next operations: "set A[i,j] = 1", "set B[i,j] = 1"....

Asked on 11/26/2021 by gsv

0Let's assume that we are given two graphs $G_1$ and $G_2$ defined by the two following nicely drawn pictures. Black numbers label the nodes, red numbers show the...

Asked on 11/23/2021 by Freiburger0

0I'm curious about the following general problem: Suppose that we have a parameterized problem whose input is $x$ and parameter is $k$ (which is NOT the size of...

Asked on 11/19/2021 by Haden Hooyeon Lee

1I have a set of n 3d line segments [(p1_start,p1_end), (p2_start,p2_end),....(pn_start,pn_end)].(I believe that they shod be nin-intersecting...)These segments represent a (closed) boundary. I am looking for...

Asked on 11/14/2021

1I have a non optimal vertex cover of size k of a graph G, and I want to get a (1+epsilon)-approximation kernel of size linear in k for maximum clique...

Asked on 11/06/2021 by markHall

1I am asking this question out of curiosity. I recently encountered this well-known paper on (published in 2009):the hardness_of_Euclidean_kmeans The paper showed that the previous NP-hardness result...

Asked on 10/30/2021

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