# Questions tagged [graph-theory]

Questions about the branch of combinatorics called graph theory (not to be used for questions concerning the graph of a function). This tag can be further specialized via using it in combination with more specialized tags such as extremal-graph-theory, spectral-graph-theory, algebraic-graph-theory, topological-graph-theory, random-graphs, graph-colorings and several others.

**-1**

**0**answers

### Can you create a directed graph on five vertices where each vertex touches every other vertex in one or two moves [on hold]

**2**

**1**answer

### How does the complexity of calculating the Permanent imply the NP completeness of directed 3-cycle cover?

**1**

**0**answers

### Coloration of an interval graph with constraints [on hold]

**0**

**0**answers

### Algorithmic complexity of deciding the existence of regular $\mathrm{f}$-factors in graphs

**4**

**1**answer

### Probability of a vertex being a “degree-celebrity” in a random graph

**-2**

**0**answers

### Polya Enumeration to study proper graph colorings

**2**

**0**answers

### Efficiently computable graph conductance measures

**8**

**0**answers

### Thurston on the Robertson-Seymour theorem

**4**

**0**answers

### Reference for results about planar graphs

**2**

**1**answer

### Is this graph problem NP-Hard?

**5**

**1**answer

### Random walk on the hypercube with deleted edges

**20**

**3**answers

### When can a graph be oriented to form a Hasse diagram of a finite poset?

**2**

**1**answer

### Electrode assignment problem in resistive networks

**8**

**0**answers

### Connected subgraphs and their sums

**2**

**1**answer

### Edge coloring graphs is in P?

**1**

**1**answer

### Perfect graphs condition could be weakened?

**1**

**0**answers

### Chromatic number of certain graphs with high maximum degree

**20**

**0**answers

### Is this representation of Go (game) irreducible?

**2**

**1**answer

### Define a homomorphism of a set of graphs to its power set

**1**

**0**answers

### Combinatorial equation system with exponentially many equations in quadratic many variables

**2**

**0**answers

### Is there a known proof that $R(5,5)\leq 47$ in Ramsey theory?

**3**

**1**answer

### Connected hypergraphs

**6**

**0**answers

### Squared squares and partitions of $K_{nn}$

**1**

**0**answers

### Digraphs with same number of semiwalks

**3**

**0**answers

### Generalization of Menger's Theorem to Infinite Graphs

**1**

**0**answers

### Worst case performance of heuristic for the non-eulerian Windy Postman Problem

**1**

**0**answers

### Definition of k-partite hypergraph

**15**

**7**answers

### Examples of proofs by making reduction to a finite set [closed]

**1**

**1**answer

### Characterisation of walk-equivalent digraphs

**0**

**0**answers

### Graphs “weak” in context of cutting subgraphs

**1**

**0**answers

### Treewidth related properties of a bipartite graph with bounded local crossing number and diameter

**2**

**0**answers

### Why do we assume that $\mathcal{A}$ is an algebra in this 2003 paper of Bobkov and Tetali?

**3**

**1**answer

### Diameter of Cayley graphs of finite simple groups

**11**

**4**answers

### A specific collection of subgraphs in $K_{70, 70}$

**4**

**0**answers

### Dinitz Conjecture extension to rectangles

**2**

**1**answer

### List coloring of tripartite graph [closed]

**0**

**0**answers

### Iterated Inverse structures: polynomial representation of integer partitioning of preimages in Sigma Matrices (reference request)

**0**

**1**answer

### If the core of a graph is a forest, then it is Class 1

**1**

**1**answer

### Number of occurrences of subgraphs as a unique identifier

**7**

**0**answers

### Matrix of high rank mod $2$: must it have a large non-singular minor (with disjoint rows and columns)?

**1**

**0**answers

### Is there a well-posed definition of game on a graph? Or a well defined category of games on graphs?

**1**

**0**answers

### Determining the minimum weight maximal oriented subgraph of a complete directed graph

**0**

**0**answers

### Infimums of Poset of Unlabelled Subtrees

**2**

**1**answer

### Two cospectral (normal) digraphs which are not orthogonal similar

**4**

**3**answers

### Is there a name for this “stack” of graphs?

**1**

**1**answer

### Quotient graph of a tree

**0**

**1**answer

### Combining three matchings to form a maximal matching

**1**

**1**answer

### Number formation and bridged graphs, connection or coincidence?

**6**

**1**answer

### Minimizing the number of segments in drawings of planar graphs

**1**

**0**answers