## Abstract Bounds are determined for the Ramsey number of the union of graphs versus a fixed graph __H__, based on the Ramsey number of the components versus __H__. For certain unions of graphs, the exact Ramsey number is determined. From these formulas, some new Ramsey numbers are indicated. In p
The edge reconstruction number of a disconnected graph
β Scribed by Robert Molina
- Publisher
- John Wiley and Sons
- Year
- 1995
- Tongue
- English
- Weight
- 532 KB
- Volume
- 19
- Category
- Article
- ISSN
- 0364-9024
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
Dedicated ro the memory of Stan Ulam (31.
## Abstract If a graph __G__ on __n__ vertices contains a Hamiltonian path, then __G__ is reconstructible from its edgeβdeleted subgraphs for __n__ sufficiently large.
## RECONgTRUCTIBILITY VERSUI~ EDGE RECONSTR1UCTIBILtlY OF !NF![?CTE GN~APNS Cars,~en -FI-!Ob,~ ASSEN A.hah,,\*~atL~k /~.t;tir~\*., t h~ieersi;e~sp ~tk~'n, S0{P} Aarbus C. Detm~a& Rcc~ .d 23 [;cccm~cr 1~)77 [~Β’ :{>.cd 7 April D)TS For every cm~dma! a >R o ~here exi::ts an ,:t-rQ,',ular .g;api~ w[?
## Abstract An (__n, q__) graph has __n__ labeled points, __q__ edges, and no loops or multiple edges. The number of connected (__n, q__) graphs is __f(n, q)__. Cayley proved that __f(n, n__^β1^) = __n__^nβ2^ and Renyi found a formula for __f(n, n)__. Here I develop two methods to calculate the exp
The interval number of a graph G, denoted by i(G), is the least natural number t such that G is the intersection graph of sets, each of which is the union of at most t intervals. Here we settle a conjecture of Griggs and West about bounding i(G) in terms of e, that is, the number of edges in G. Name