Solution-Show that every tree of order six is graceful

Show that every tree of order six is graceful

Assignment Help Algebra

Reference no: EM131021355

A (p,q) graph G is called graceful if it is possible to label the vertices of G with distinct elements from the set {0,1,...,q} in such a way that the induced edge labeling, which assigns the integer |i - j| to the edge ij, assigns the labels 1,2,...,q to the q edges of G.

The graceful tree conjecture states that every tree is graceful.

a. Prove that every path is graceful.

b. Prove that every star K_(1,n) is graceful.

c. Show that every tree of order 6 is graceful.

Reference no: EM131021355

Questions Cloud

Randomly selected seawater samples the mean sodium : In 36 randomly selected seawater samples the mean sodium chloride concentration was 23 cubic centimeters per cubic meter. Assume the population standard deviation is 6.7 cubic centimeters per cubic meter.

International agreements related to intellectual property : You have to discuss the INTERNATIONAL LEGISLATION: international agreements related to the intellectual property and UAE LEGISLATION

To predict the outcome of a county election : To predict the outcome of a county election, newspaper obtains a list of 1,095,765 registered voters in the county and wants to conduct a systematic sample with sample size 80. if we start with the 5th voter on the list, what will be the 3rd, 4th, an..

Calculate the cost of the market basket in malvia : Calculate the cost of the market basket in Malvia for 2012, 2013, and 2014. Provide a general formula for the cost of the market basket

Show that every tree of order six is graceful : The graceful tree conjecture states that every tree is graceful. Prove that every path is graceful. Prove that every star K(1,n) is graceful. Show that every tree of order 6 is graceful.

Find the required current i and the power dissipation : It is required to design the sense amplifier of Fig. 16.24 to detect an input signal of 140 mV and provide a full output in 0.5 ns. If C = 50 fF and VDD = 1.2 V, find the required current I and the power dissipation.

What should prestige advise frank to do : What should Prestige's overall policy on such payments be? Should Prestige walk away from companies or individuals who accept under-the-table payments?

Distribution of human populations to effects on environment : Relate population growth and the distribution of human populations to effects on the environment - Explain the strategies to diminish these negative impacts.

Complete the square and sketch a graph of the given ellipse : Complete the square and sketch a graph of the following ellipse. Give the coordinates of the centre and the four vertices. What is the length of the major axis?

User Account

All Pages

Show that every tree of order six is graceful

Reference no: EM131021355

Reference no: EM131021355

Questions Cloud

Reviews

Write a Review

Algebra Questions & Answers

Solve the linear model

Identify the sample and suggest a population

Evaluate the ratios

Define variables and profit function

Make a linear equation

Classify linear and non linear functions

Which of the following are functions

Using venn diagram for solving word problems

Joint probability density function

Applications of combination

Solving problems using venn diagram

Solving problems into equation

Assured A++ Grade

Academics

Major Subjects

Majors

Get In Touch

TERMS & POLICIES

HELP & SUPPORT